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Finding the Fourth Proportional to 406,423.04, 561,137.66 and 253,693.76

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Solution

The fourth proportional to 406,423.04, 561,137.66 and 253,693.76 is: 350,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,423.04 : 561,137.66 = 253,693.76 : x
  2. Step 2: Convert to fraction form
    406,423.04/561,137.66 = 253,693.76/x
  3. Step 3: Cross multiply
    406,423.04x = 561,137.66 × 253,693.76
  4. Step 4: Simplify right side
    406,423.04x = 142,357,122,843.00
  5. Step 5: Solve for x
    x = 142,357,122,843.00/406,423.04
  6. Step 6: Final answer
    x = 350,268.34

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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.