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Finding the Fourth Proportional to 459,007.60, 688,511.40 and 427,514.80

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Solution

The fourth proportional to 459,007.60, 688,511.40 and 427,514.80 is: 641,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,007.60 : 688,511.40 = 427,514.80 : x
  2. Step 2: Convert to fraction form
    459,007.60/688,511.40 = 427,514.80/x
  3. Step 3: Cross multiply
    459,007.60x = 688,511.40 × 427,514.80
  4. Step 4: Simplify right side
    459,007.60x = 294,348,813,468.72
  5. Step 5: Solve for x
    x = 294,348,813,468.72/459,007.60
  6. Step 6: Final answer
    x = 641,272.20

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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.