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Finding the Fourth Proportional to 410,816.80, 616,225.20 and 144,575.20

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Solution

The fourth proportional to 410,816.80, 616,225.20 and 144,575.20 is: 216,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,816.80 : 616,225.20 = 144,575.20 : x
  2. Step 2: Convert to fraction form
    410,816.80/616,225.20 = 144,575.20/x
  3. Step 3: Cross multiply
    410,816.80x = 616,225.20 × 144,575.20
  4. Step 4: Simplify right side
    410,816.80x = 89,090,881,535.04
  5. Step 5: Solve for x
    x = 89,090,881,535.04/410,816.80
  6. Step 6: Final answer
    x = 216,862.80

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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.