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Finding the Fourth Proportional to 314,630.84, 472,357.85 and 186,780.53

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Solution

The fourth proportional to 314,630.84, 472,357.85 and 186,780.53 is: 280,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,630.84 : 472,357.85 = 186,780.53 : x
  2. Step 2: Convert to fraction form
    314,630.84/472,357.85 = 186,780.53/x
  3. Step 3: Cross multiply
    314,630.84x = 472,357.85 × 186,780.53
  4. Step 4: Simplify right side
    314,630.84x = 88,227,246,276.97
  5. Step 5: Solve for x
    x = 88,227,246,276.97/314,630.84
  6. Step 6: Final answer
    x = 280,415.13

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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.