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Finding the Fourth Proportional to 234,472, 323,569.47 and 127,041.70

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Solution

The fourth proportional to 234,472, 323,569.47 and 127,041.70 is: 175,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,472 : 323,569.47 = 127,041.70 : x
  2. Step 2: Convert to fraction form
    234,472/323,569.47 = 127,041.70/x
  3. Step 3: Cross multiply
    234,472x = 323,569.47 × 127,041.70
  4. Step 4: Simplify right side
    234,472x = 41,106,815,536.90
  5. Step 5: Solve for x
    x = 41,106,815,536.90/234,472
  6. Step 6: Final answer
    x = 175,316.52

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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.