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Finding the Fourth Proportional to 635,437.20, 876,684.02 and 406,128.66

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Solution

The fourth proportional to 635,437.20, 876,684.02 and 406,128.66 is: 560,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,437.20 : 876,684.02 = 406,128.66 : x
  2. Step 2: Convert to fraction form
    635,437.20/876,684.02 = 406,128.66/x
  3. Step 3: Cross multiply
    635,437.20x = 876,684.02 × 406,128.66
  4. Step 4: Simplify right side
    635,437.20x = 356,046,506,286.01
  5. Step 5: Solve for x
    x = 356,046,506,286.01/635,437.20
  6. Step 6: Final answer
    x = 560,317.38

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Double scale
Find fourth proportional to 635,438.20, 876,685.40 and 406,129.66
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.