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Finding the Fourth Proportional to 468,377.64, 646,373.70 and 284,553.63

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Solution

The fourth proportional to 468,377.64, 646,373.70 and 284,553.63 is: 392,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,377.64 : 646,373.70 = 284,553.63 : x
  2. Step 2: Convert to fraction form
    468,377.64/646,373.70 = 284,553.63/x
  3. Step 3: Cross multiply
    468,377.64x = 646,373.70 × 284,553.63
  4. Step 4: Simplify right side
    468,377.64x = 183,927,982,671.53
  5. Step 5: Solve for x
    x = 183,927,982,671.53/468,377.64
  6. Step 6: Final answer
    x = 392,691.64

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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.