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Finding the Fourth Proportional to 314,727.92, 472,503.40 and 186,877.52

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Solution

The fourth proportional to 314,727.92, 472,503.40 and 186,877.52 is: 280,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,727.92 : 472,503.40 = 186,877.52 : x
  2. Step 2: Convert to fraction form
    314,727.92/472,503.40 = 186,877.52/x
  3. Step 3: Cross multiply
    314,727.92x = 472,503.40 × 186,877.52
  4. Step 4: Simplify right side
    314,727.92x = 88,300,263,583.57
  5. Step 5: Solve for x
    x = 88,300,263,583.57/314,727.92
  6. Step 6: Final answer
    x = 280,560.63

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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.