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Finding the Fourth Proportional to 408,879.35, 564,200.10 and 227,598.92

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Solution

The fourth proportional to 408,879.35, 564,200.10 and 227,598.92 is: 314,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,879.35 : 564,200.10 = 227,598.92 : x
  2. Step 2: Convert to fraction form
    408,879.35/564,200.10 = 227,598.92/x
  3. Step 3: Cross multiply
    408,879.35x = 564,200.10 × 227,598.92
  4. Step 4: Simplify right side
    408,879.35x = 128,411,333,423.89
  5. Step 5: Solve for x
    x = 128,411,333,423.89/408,879.35
  6. Step 6: Final answer
    x = 314,056.78

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1.5x scale

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.