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Finding the Fourth Proportional to 564,780.48, 846,921.92 and 265,346.16

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Solution

The fourth proportional to 564,780.48, 846,921.92 and 265,346.16 is: 397,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,780.48 : 846,921.92 = 265,346.16 : x
  2. Step 2: Convert to fraction form
    564,780.48/846,921.92 = 265,346.16/x
  3. Step 3: Cross multiply
    564,780.48x = 846,921.92 × 265,346.16
  4. Step 4: Simplify right side
    564,780.48x = 224,727,479,291.83
  5. Step 5: Solve for x
    x = 224,727,479,291.83/564,780.48
  6. Step 6: Final answer
    x = 397,902.35

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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.