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Finding the Fourth Proportional to 614,967.52, 922,478.91 and 188,472.10

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Solution

The fourth proportional to 614,967.52, 922,478.91 and 188,472.10 is: 282,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,967.52 : 922,478.91 = 188,472.10 : x
  2. Step 2: Convert to fraction form
    614,967.52/922,478.91 = 188,472.10/x
  3. Step 3: Cross multiply
    614,967.52x = 922,478.91 × 188,472.10
  4. Step 4: Simplify right side
    614,967.52x = 173,861,537,373.41
  5. Step 5: Solve for x
    x = 173,861,537,373.41/614,967.52
  6. Step 6: Final answer
    x = 282,716.62

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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.