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Finding the Fourth Proportional to 459,200.70, 688,801.05 and 408,462.30

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Solution

The fourth proportional to 459,200.70, 688,801.05 and 408,462.30 is: 612,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,200.70 : 688,801.05 = 408,462.30 : x
  2. Step 2: Convert to fraction form
    459,200.70/688,801.05 = 408,462.30/x
  3. Step 3: Cross multiply
    459,200.70x = 688,801.05 × 408,462.30
  4. Step 4: Simplify right side
    459,200.70x = 281,349,261,125.42
  5. Step 5: Solve for x
    x = 281,349,261,125.42/459,200.70
  6. Step 6: Final answer
    x = 612,693.45

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Similar ratio
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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.