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Finding the Fourth Proportional to 475,114.40, 711,289.20 and 288,029.60

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Solution

The fourth proportional to 475,114.40, 711,289.20 and 288,029.60 is: 431,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,114.40 : 711,289.20 = 288,029.60 : x
  2. Step 2: Convert to fraction form
    475,114.40/711,289.20 = 288,029.60/x
  3. Step 3: Cross multiply
    475,114.40x = 711,289.20 × 288,029.60
  4. Step 4: Simplify right side
    475,114.40x = 204,872,343,760.32
  5. Step 5: Solve for x
    x = 204,872,343,760.32/475,114.40
  6. Step 6: Final answer
    x = 431,206.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.