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Finding the Fourth Proportional to 459,000.70, 688,501.05 and 412,344.70

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Solution

The fourth proportional to 459,000.70, 688,501.05 and 412,344.70 is: 618,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,000.70 : 688,501.05 = 412,344.70 : x
  2. Step 2: Convert to fraction form
    459,000.70/688,501.05 = 412,344.70/x
  3. Step 3: Cross multiply
    459,000.70x = 688,501.05 × 412,344.70
  4. Step 4: Simplify right side
    459,000.70x = 283,899,758,911.94
  5. Step 5: Solve for x
    x = 283,899,758,911.94/459,000.70
  6. Step 6: Final answer
    x = 618,517.05

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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.