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Finding the Fourth Proportional to 385,648.40, 532,179.24 and 224,508.08

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Solution

The fourth proportional to 385,648.40, 532,179.24 and 224,508.08 is: 309,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,648.40 : 532,179.24 = 224,508.08 : x
  2. Step 2: Convert to fraction form
    385,648.40/532,179.24 = 224,508.08/x
  3. Step 3: Cross multiply
    385,648.40x = 532,179.24 × 224,508.08
  4. Step 4: Simplify right side
    385,648.40x = 119,478,539,388.26
  5. Step 5: Solve for x
    x = 119,478,539,388.26/385,648.40
  6. Step 6: Final answer
    x = 309,812.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.