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Finding the Fourth Proportional to 415,068.24, 575,107.66 and 406,099.92

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Solution

The fourth proportional to 415,068.24, 575,107.66 and 406,099.92 is: 562,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,068.24 : 575,107.66 = 406,099.92 : x
  2. Step 2: Convert to fraction form
    415,068.24/575,107.66 = 406,099.92/x
  3. Step 3: Cross multiply
    415,068.24x = 575,107.66 × 406,099.92
  4. Step 4: Simplify right side
    415,068.24x = 233,551,174,717.39
  5. Step 5: Solve for x
    x = 233,551,174,717.39/415,068.24
  6. Step 6: Final answer
    x = 562,681.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.