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Finding the Fourth Proportional to 433,079.60, 649,619.40 and 314,193.20

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Solution

The fourth proportional to 433,079.60, 649,619.40 and 314,193.20 is: 471,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,079.60 : 649,619.40 = 314,193.20 : x
  2. Step 2: Convert to fraction form
    433,079.60/649,619.40 = 314,193.20/x
  3. Step 3: Cross multiply
    433,079.60x = 649,619.40 × 314,193.20
  4. Step 4: Simplify right side
    433,079.60x = 204,105,998,068.08
  5. Step 5: Solve for x
    x = 204,105,998,068.08/433,079.60
  6. Step 6: Final answer
    x = 471,289.80

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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.