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Finding the Fourth Proportional to 459,008.40, 687,200.40 and 411,769.20

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Solution

The fourth proportional to 459,008.40, 687,200.40 and 411,769.20 is: 616,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,008.40 : 687,200.40 = 411,769.20 : x
  2. Step 2: Convert to fraction form
    459,008.40/687,200.40 = 411,769.20/x
  3. Step 3: Cross multiply
    459,008.40x = 687,200.40 × 411,769.20
  4. Step 4: Simplify right side
    459,008.40x = 282,967,958,947.68
  5. Step 5: Solve for x
    x = 282,967,958,947.68/459,008.40
  6. Step 6: Final answer
    x = 616,476.65

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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.