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Finding the Fourth Proportional to 410,818.80, 616,228.20 and 144,577.20

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Solution

The fourth proportional to 410,818.80, 616,228.20 and 144,577.20 is: 216,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,818.80 : 616,228.20 = 144,577.20 : x
  2. Step 2: Convert to fraction form
    410,818.80/616,228.20 = 144,577.20/x
  3. Step 3: Cross multiply
    410,818.80x = 616,228.20 × 144,577.20
  4. Step 4: Simplify right side
    410,818.80x = 89,092,547,717.04
  5. Step 5: Solve for x
    x = 89,092,547,717.04/410,818.80
  6. Step 6: Final answer
    x = 216,865.80

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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.