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Finding the Fourth Proportional to 314,726.87, 472,501.85 and 186,876.60

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Solution

The fourth proportional to 314,726.87, 472,501.85 and 186,876.60 is: 280,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,726.87 : 472,501.85 = 186,876.60 : x
  2. Step 2: Convert to fraction form
    314,726.87/472,501.85 = 186,876.60/x
  3. Step 3: Cross multiply
    314,726.87x = 472,501.85 × 186,876.60
  4. Step 4: Simplify right side
    314,726.87x = 88,299,538,287.33
  5. Step 5: Solve for x
    x = 88,299,538,287.33/314,726.87
  6. Step 6: Final answer
    x = 280,559.27

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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.