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Finding the Fourth Proportional to 614,453.20, 921,679.80 and 314,834.20

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Solution

The fourth proportional to 614,453.20, 921,679.80 and 314,834.20 is: 472,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,453.20 : 921,679.80 = 314,834.20 : x
  2. Step 2: Convert to fraction form
    614,453.20/921,679.80 = 314,834.20/x
  3. Step 3: Cross multiply
    614,453.20x = 921,679.80 × 314,834.20
  4. Step 4: Simplify right side
    614,453.20x = 290,176,322,489.16
  5. Step 5: Solve for x
    x = 290,176,322,489.16/614,453.20
  6. Step 6: Final answer
    x = 472,251.30

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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.