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Finding the Fourth Proportional to 459,009.40, 687,201.90 and 411,770.20

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Solution

The fourth proportional to 459,009.40, 687,201.90 and 411,770.20 is: 616,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,009.40 : 687,201.90 = 411,770.20 : x
  2. Step 2: Convert to fraction form
    459,009.40/687,201.90 = 411,770.20/x
  3. Step 3: Cross multiply
    459,009.40x = 687,201.90 × 411,770.20
  4. Step 4: Simplify right side
    459,009.40x = 282,969,263,803.38
  5. Step 5: Solve for x
    x = 282,969,263,803.38/459,009.40
  6. Step 6: Final answer
    x = 616,478.15

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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.