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Finding the Fourth Proportional to 402,925.71, 604,463.32 and 133,072.54

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Solution

The fourth proportional to 402,925.71, 604,463.32 and 133,072.54 is: 199,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,925.71 : 604,463.32 = 133,072.54 : x
  2. Step 2: Convert to fraction form
    402,925.71/604,463.32 = 133,072.54/x
  3. Step 3: Cross multiply
    402,925.71x = 604,463.32 × 133,072.54
  4. Step 4: Simplify right side
    402,925.71x = 80,437,469,329.23
  5. Step 5: Solve for x
    x = 80,437,469,329.23/402,925.71
  6. Step 6: Final answer
    x = 199,633.50

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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.