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Finding the Fourth Proportional to 564,663.92, 846,248.22 and 414,199.76

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Solution

The fourth proportional to 564,663.92, 846,248.22 and 414,199.76 is: 620,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,663.92 : 846,248.22 = 414,199.76 : x
  2. Step 2: Convert to fraction form
    564,663.92/846,248.22 = 414,199.76/x
  3. Step 3: Cross multiply
    564,663.92x = 846,248.22 × 414,199.76
  4. Step 4: Simplify right side
    564,663.92x = 350,515,809,624.43
  5. Step 5: Solve for x
    x = 350,515,809,624.43/564,663.92
  6. Step 6: Final answer
    x = 620,751.21

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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.