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Finding the Fourth Proportional to 314,901.44, 472,378.08 and 137,297.60

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Solution

The fourth proportional to 314,901.44, 472,378.08 and 137,297.60 is: 205,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,901.44 : 472,378.08 = 137,297.60 : x
  2. Step 2: Convert to fraction form
    314,901.44/472,378.08 = 137,297.60/x
  3. Step 3: Cross multiply
    314,901.44x = 472,378.08 × 137,297.60
  4. Step 4: Simplify right side
    314,901.44x = 64,856,376,676.61
  5. Step 5: Solve for x
    x = 64,856,376,676.61/314,901.44
  6. Step 6: Final answer
    x = 205,957.70

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1.5x scale

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.