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Finding the Fourth Proportional to 825,054.32, 1,138,644.60 and 462,472.40

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Solution

The fourth proportional to 825,054.32, 1,138,644.60 and 462,472.40 is: 638,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,054.32 : 1,138,644.60 = 462,472.40 : x
  2. Step 2: Convert to fraction form
    825,054.32/1,138,644.60 = 462,472.40/x
  3. Step 3: Cross multiply
    825,054.32x = 1,138,644.60 × 462,472.40
  4. Step 4: Simplify right side
    825,054.32x = 526,591,700,909.04
  5. Step 5: Solve for x
    x = 526,591,700,909.04/825,054.32
  6. Step 6: Final answer
    x = 638,250.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.