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Finding the Fourth Proportional to 406,093.59, 560,415.75 and 222,329.04

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Solution

The fourth proportional to 406,093.59, 560,415.75 and 222,329.04 is: 306,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,093.59 : 560,415.75 = 222,329.04 : x
  2. Step 2: Convert to fraction form
    406,093.59/560,415.75 = 222,329.04/x
  3. Step 3: Cross multiply
    406,093.59x = 560,415.75 × 222,329.04
  4. Step 4: Simplify right side
    406,093.59x = 124,596,695,698.38
  5. Step 5: Solve for x
    x = 124,596,695,698.38/406,093.59
  6. Step 6: Final answer
    x = 306,817.69

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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.