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Finding the Fourth Proportional to 564,758.92, 847,138.65 and 354,544.48

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Solution

The fourth proportional to 564,758.92, 847,138.65 and 354,544.48 is: 531,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,758.92 : 847,138.65 = 354,544.48 : x
  2. Step 2: Convert to fraction form
    564,758.92/847,138.65 = 354,544.48/x
  3. Step 3: Cross multiply
    564,758.92x = 847,138.65 × 354,544.48
  4. Step 4: Simplify right side
    564,758.92x = 300,348,332,152.15
  5. Step 5: Solve for x
    x = 300,348,332,152.15/564,758.92
  6. Step 6: Final answer
    x = 531,816.89

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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.