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Finding the Fourth Proportional to 420,528.78, 580,332.24 and 229,538.07

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Solution

The fourth proportional to 420,528.78, 580,332.24 and 229,538.07 is: 316,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,528.78 : 580,332.24 = 229,538.07 : x
  2. Step 2: Convert to fraction form
    420,528.78/580,332.24 = 229,538.07/x
  3. Step 3: Cross multiply
    420,528.78x = 580,332.24 × 229,538.07
  4. Step 4: Simplify right side
    420,528.78x = 133,208,342,328.38
  5. Step 5: Solve for x
    x = 133,208,342,328.38/420,528.78
  6. Step 6: Final answer
    x = 316,763.91

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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.