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Finding the Fourth Proportional to 410,802.30, 616,203.45 and 144,560.70

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Solution

The fourth proportional to 410,802.30, 616,203.45 and 144,560.70 is: 216,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,802.30 : 616,203.45 = 144,560.70 : x
  2. Step 2: Convert to fraction form
    410,802.30/616,203.45 = 144,560.70/x
  3. Step 3: Cross multiply
    410,802.30x = 616,203.45 × 144,560.70
  4. Step 4: Simplify right side
    410,802.30x = 89,078,802,074.42
  5. Step 5: Solve for x
    x = 89,078,802,074.42/410,802.30
  6. Step 6: Final answer
    x = 216,841.05

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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.