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Finding the Fourth Proportional to 459,008.40, 688,512.60 and 406,520.40

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Solution

The fourth proportional to 459,008.40, 688,512.60 and 406,520.40 is: 609,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,008.40 : 688,512.60 = 406,520.40 : x
  2. Step 2: Convert to fraction form
    459,008.40/688,512.60 = 406,520.40/x
  3. Step 3: Cross multiply
    459,008.40x = 688,512.60 × 406,520.40
  4. Step 4: Simplify right side
    459,008.40x = 279,894,417,557.04
  5. Step 5: Solve for x
    x = 279,894,417,557.04/459,008.40
  6. Step 6: Final answer
    x = 609,780.60

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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.