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Finding the Fourth Proportional to 408,000.16, 563,052.90 and 224,235.40

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Solution

The fourth proportional to 408,000.16, 563,052.90 and 224,235.40 is: 309,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,000.16 : 563,052.90 = 224,235.40 : x
  2. Step 2: Convert to fraction form
    408,000.16/563,052.90 = 224,235.40/x
  3. Step 3: Cross multiply
    408,000.16x = 563,052.90 × 224,235.40
  4. Step 4: Simplify right side
    408,000.16x = 126,256,389,437.40
  5. Step 5: Solve for x
    x = 126,256,389,437.40/408,000.16
  6. Step 6: Final answer
    x = 309,451.81

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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.