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Finding the Fourth Proportional to 314,646.33, 472,037.83 and 114,966.39

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Solution

The fourth proportional to 314,646.33, 472,037.83 and 114,966.39 is: 172,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,646.33 : 472,037.83 = 114,966.39 : x
  2. Step 2: Convert to fraction form
    314,646.33/472,037.83 = 114,966.39/x
  3. Step 3: Cross multiply
    314,646.33x = 472,037.83 × 114,966.39
  4. Step 4: Simplify right side
    314,646.33x = 54,268,485,545.95
  5. Step 5: Solve for x
    x = 54,268,485,545.95/314,646.33
  6. Step 6: Final answer
    x = 172,474.56

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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.