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Finding the Fourth Proportional to 485,248.36, 727,872.54 and 189,553

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Solution

The fourth proportional to 485,248.36, 727,872.54 and 189,553 is: 284,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,248.36 : 727,872.54 = 189,553 : x
  2. Step 2: Convert to fraction form
    485,248.36/727,872.54 = 189,553/x
  3. Step 3: Cross multiply
    485,248.36x = 727,872.54 × 189,553
  4. Step 4: Simplify right side
    485,248.36x = 137,970,423,574.62
  5. Step 5: Solve for x
    x = 137,970,423,574.62/485,248.36
  6. Step 6: Final answer
    x = 284,329.50

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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.