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Finding the Fourth Proportional to 314,712.41, 472,480.14 and 186,862.06

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Solution

The fourth proportional to 314,712.41, 472,480.14 and 186,862.06 is: 280,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,712.41 : 472,480.14 = 186,862.06 : x
  2. Step 2: Convert to fraction form
    314,712.41/472,480.14 = 186,862.06/x
  3. Step 3: Cross multiply
    314,712.41x = 472,480.14 × 186,862.06
  4. Step 4: Simplify right side
    314,712.41x = 88,288,612,269.49
  5. Step 5: Solve for x
    x = 88,288,612,269.49/314,712.41
  6. Step 6: Final answer
    x = 280,537.44

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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.