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Finding the Fourth Proportional to 409,337.20, 614,005.80 and 232,190.20

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Solution

The fourth proportional to 409,337.20, 614,005.80 and 232,190.20 is: 348,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,337.20 : 614,005.80 = 232,190.20 : x
  2. Step 2: Convert to fraction form
    409,337.20/614,005.80 = 232,190.20/x
  3. Step 3: Cross multiply
    409,337.20x = 614,005.80 × 232,190.20
  4. Step 4: Simplify right side
    409,337.20x = 142,566,129,503.16
  5. Step 5: Solve for x
    x = 142,566,129,503.16/409,337.20
  6. Step 6: Final answer
    x = 348,285.30

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1.5x scale

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.