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Finding the Fourth Proportional to 614,429.70, 921,644.55 and 564,663.30

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Solution

The fourth proportional to 614,429.70, 921,644.55 and 564,663.30 is: 846,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,429.70 : 921,644.55 = 564,663.30 : x
  2. Step 2: Convert to fraction form
    614,429.70/921,644.55 = 564,663.30/x
  3. Step 3: Cross multiply
    614,429.70x = 921,644.55 × 564,663.30
  4. Step 4: Simplify right side
    614,429.70x = 520,418,853,030.02
  5. Step 5: Solve for x
    x = 520,418,853,030.02/614,429.70
  6. Step 6: Final answer
    x = 846,994.95

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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.