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Finding the Fourth Proportional to 464,906.10, 697,358.70 and 127,948.68

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Solution

The fourth proportional to 464,906.10, 697,358.70 and 127,948.68 is: 191,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,906.10 : 697,358.70 = 127,948.68 : x
  2. Step 2: Convert to fraction form
    464,906.10/697,358.70 = 127,948.68/x
  3. Step 3: Cross multiply
    464,906.10x = 697,358.70 × 127,948.68
  4. Step 4: Simplify right side
    464,906.10x = 89,226,125,151.52
  5. Step 5: Solve for x
    x = 89,226,125,151.52/464,906.10
  6. Step 6: Final answer
    x = 191,922.90

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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.