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Finding the Fourth Proportional to 313,551.40, 469,635.90 and 272,079.40

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Solution

The fourth proportional to 313,551.40, 469,635.90 and 272,079.40 is: 407,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,551.40 : 469,635.90 = 272,079.40 : x
  2. Step 2: Convert to fraction form
    313,551.40/469,635.90 = 272,079.40/x
  3. Step 3: Cross multiply
    313,551.40x = 469,635.90 × 272,079.40
  4. Step 4: Simplify right side
    313,551.40x = 127,778,253,890.46
  5. Step 5: Solve for x
    x = 127,778,253,890.46/313,551.40
  6. Step 6: Final answer
    x = 407,519.32

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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.