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Finding the Fourth Proportional to 473,491.71, 710,237.56 and 173,842.64

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Solution

The fourth proportional to 473,491.71, 710,237.56 and 173,842.64 is: 260,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,491.71 : 710,237.56 = 173,842.64 : x
  2. Step 2: Convert to fraction form
    473,491.71/710,237.56 = 173,842.64/x
  3. Step 3: Cross multiply
    473,491.71x = 710,237.56 × 173,842.64
  4. Step 4: Simplify right side
    473,491.71x = 123,469,570,011.47
  5. Step 5: Solve for x
    x = 123,469,570,011.47/473,491.71
  6. Step 6: Final answer
    x = 260,763.95

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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.