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Finding the Fourth Proportional to 438,437.10, 657,655.65 and 413,942.70

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Solution

The fourth proportional to 438,437.10, 657,655.65 and 413,942.70 is: 620,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,437.10 : 657,655.65 = 413,942.70 : x
  2. Step 2: Convert to fraction form
    438,437.10/657,655.65 = 413,942.70/x
  3. Step 3: Cross multiply
    438,437.10x = 657,655.65 × 413,942.70
  4. Step 4: Simplify right side
    438,437.10x = 272,231,755,431.26
  5. Step 5: Solve for x
    x = 272,231,755,431.26/438,437.10
  6. Step 6: Final answer
    x = 620,914.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.