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Finding the Fourth Proportional to 482,698.98, 724,165.45 and 145,719.47

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Solution

The fourth proportional to 482,698.98, 724,165.45 and 145,719.47 is: 218,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,698.98 : 724,165.45 = 145,719.47 : x
  2. Step 2: Convert to fraction form
    482,698.98/724,165.45 = 145,719.47/x
  3. Step 3: Cross multiply
    482,698.98x = 724,165.45 × 145,719.47
  4. Step 4: Simplify right side
    482,698.98x = 105,525,007,012.43
  5. Step 5: Solve for x
    x = 105,525,007,012.43/482,698.98
  6. Step 6: Final answer
    x = 218,614.52

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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.