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Finding the Fourth Proportional to 314,970.80, 472,551.57 and 112,540.39

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Solution

The fourth proportional to 314,970.80, 472,551.57 and 112,540.39 is: 168,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,970.80 : 472,551.57 = 112,540.39 : x
  2. Step 2: Convert to fraction form
    314,970.80/472,551.57 = 112,540.39/x
  3. Step 3: Cross multiply
    314,970.80x = 472,551.57 × 112,540.39
  4. Step 4: Simplify right side
    314,970.80x = 53,181,136,801.53
  5. Step 5: Solve for x
    x = 53,181,136,801.53/314,970.80
  6. Step 6: Final answer
    x = 168,844.66

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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.