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Finding the Fourth Proportional to 314,866.64, 472,373.78 and 104,504.58

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Solution

The fourth proportional to 314,866.64, 472,373.78 and 104,504.58 is: 156,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,866.64 : 472,373.78 = 104,504.58 : x
  2. Step 2: Convert to fraction form
    314,866.64/472,373.78 = 104,504.58/x
  3. Step 3: Cross multiply
    314,866.64x = 472,373.78 × 104,504.58
  4. Step 4: Simplify right side
    314,866.64x = 49,365,222,959.39
  5. Step 5: Solve for x
    x = 49,365,222,959.39/314,866.64
  6. Step 6: Final answer
    x = 156,781.37

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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.