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Finding the Fourth Proportional to 369,985.21, 510,391.46 and 224,752.48

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Solution

The fourth proportional to 369,985.21, 510,391.46 and 224,752.48 is: 310,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,985.21 : 510,391.46 = 224,752.48 : x
  2. Step 2: Convert to fraction form
    369,985.21/510,391.46 = 224,752.48/x
  3. Step 3: Cross multiply
    369,985.21x = 510,391.46 × 224,752.48
  4. Step 4: Simplify right side
    369,985.21x = 114,711,745,691.72
  5. Step 5: Solve for x
    x = 114,711,745,691.72/369,985.21
  6. Step 6: Final answer
    x = 310,044.14

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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.