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Finding the Fourth Proportional to 551,472.10, 827,208.15 and 314,838.70

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Solution

The fourth proportional to 551,472.10, 827,208.15 and 314,838.70 is: 472,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,472.10 : 827,208.15 = 314,838.70 : x
  2. Step 2: Convert to fraction form
    551,472.10/827,208.15 = 314,838.70/x
  3. Step 3: Cross multiply
    551,472.10x = 827,208.15 × 314,838.70
  4. Step 4: Simplify right side
    551,472.10x = 260,437,138,575.41
  5. Step 5: Solve for x
    x = 260,437,138,575.41/551,472.10
  6. Step 6: Final answer
    x = 472,258.05

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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.