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Finding the Fourth Proportional to 510,050.40, 763,909.20 and 260,440.80

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Solution

The fourth proportional to 510,050.40, 763,909.20 and 260,440.80 is: 390,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,050.40 : 763,909.20 = 260,440.80 : x
  2. Step 2: Convert to fraction form
    510,050.40/763,909.20 = 260,440.80/x
  3. Step 3: Cross multiply
    510,050.40x = 763,909.20 × 260,440.80
  4. Step 4: Simplify right side
    510,050.40x = 198,953,123,175.36
  5. Step 5: Solve for x
    x = 198,953,123,175.36/510,050.40
  6. Step 6: Final answer
    x = 390,065.62

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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.