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Finding the Fourth Proportional to 459,650.80, 689,476.20 and 411,439.60

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Solution

The fourth proportional to 459,650.80, 689,476.20 and 411,439.60 is: 617,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,650.80 : 689,476.20 = 411,439.60 : x
  2. Step 2: Convert to fraction form
    459,650.80/689,476.20 = 411,439.60/x
  3. Step 3: Cross multiply
    459,650.80x = 689,476.20 × 411,439.60
  4. Step 4: Simplify right side
    459,650.80x = 283,677,811,937.52
  5. Step 5: Solve for x
    x = 283,677,811,937.52/459,650.80
  6. Step 6: Final answer
    x = 617,159.40

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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.