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Finding the Fourth Proportional to 409,543.20, 614,314.80 and 232,396.20

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Solution

The fourth proportional to 409,543.20, 614,314.80 and 232,396.20 is: 348,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,543.20 : 614,314.80 = 232,396.20 : x
  2. Step 2: Convert to fraction form
    409,543.20/614,314.80 = 232,396.20/x
  3. Step 3: Cross multiply
    409,543.20x = 614,314.80 × 232,396.20
  4. Step 4: Simplify right side
    409,543.20x = 142,764,425,123.76
  5. Step 5: Solve for x
    x = 142,764,425,123.76/409,543.20
  6. Step 6: Final answer
    x = 348,594.30

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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.