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Finding the Fourth Proportional to 314,866.47, 472,182.14 and 101,580.81

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Solution

The fourth proportional to 314,866.47, 472,182.14 and 101,580.81 is: 152,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,866.47 : 472,182.14 = 101,580.81 : x
  2. Step 2: Convert to fraction form
    314,866.47/472,182.14 = 101,580.81/x
  3. Step 3: Cross multiply
    314,866.47x = 472,182.14 × 101,580.81
  4. Step 4: Simplify right side
    314,866.47x = 47,964,644,248.73
  5. Step 5: Solve for x
    x = 47,964,644,248.73/314,866.47
  6. Step 6: Final answer
    x = 152,333.29

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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.