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Finding the Fourth Proportional to 602,978.72, 832,126.87 and 341,313.75

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Solution

The fourth proportional to 602,978.72, 832,126.87 and 341,313.75 is: 471,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,978.72 : 832,126.87 = 341,313.75 : x
  2. Step 2: Convert to fraction form
    602,978.72/832,126.87 = 341,313.75/x
  3. Step 3: Cross multiply
    602,978.72x = 832,126.87 × 341,313.75
  4. Step 4: Simplify right side
    602,978.72x = 284,016,342,902.11
  5. Step 5: Solve for x
    x = 284,016,342,902.11/602,978.72
  6. Step 6: Final answer
    x = 471,022.17

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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.