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Finding the Fourth Proportional to 508,728.10, 763,092.15 and 309,439.30

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Solution

The fourth proportional to 508,728.10, 763,092.15 and 309,439.30 is: 464,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,728.10 : 763,092.15 = 309,439.30 : x
  2. Step 2: Convert to fraction form
    508,728.10/763,092.15 = 309,439.30/x
  3. Step 3: Cross multiply
    508,728.10x = 763,092.15 × 309,439.30
  4. Step 4: Simplify right side
    508,728.10x = 236,130,700,731.50
  5. Step 5: Solve for x
    x = 236,130,700,731.50/508,728.10
  6. Step 6: Final answer
    x = 464,158.95

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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.