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Finding the Fourth Proportional to 509,206.80, 763,810.20 and 391,472.40

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Solution

The fourth proportional to 509,206.80, 763,810.20 and 391,472.40 is: 587,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,206.80 : 763,810.20 = 391,472.40 : x
  2. Step 2: Convert to fraction form
    509,206.80/763,810.20 = 391,472.40/x
  3. Step 3: Cross multiply
    509,206.80x = 763,810.20 × 391,472.40
  4. Step 4: Simplify right side
    509,206.80x = 299,010,612,138.48
  5. Step 5: Solve for x
    x = 299,010,612,138.48/509,206.80
  6. Step 6: Final answer
    x = 587,208.60

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1.5x scale

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.