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Finding the Fourth Proportional to 314,949.20, 472,423.80 and 128,094.80

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Solution

The fourth proportional to 314,949.20, 472,423.80 and 128,094.80 is: 192,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,949.20 : 472,423.80 = 128,094.80 : x
  2. Step 2: Convert to fraction form
    314,949.20/472,423.80 = 128,094.80/x
  3. Step 3: Cross multiply
    314,949.20x = 472,423.80 × 128,094.80
  4. Step 4: Simplify right side
    314,949.20x = 60,515,032,176.24
  5. Step 5: Solve for x
    x = 60,515,032,176.24/314,949.20
  6. Step 6: Final answer
    x = 192,142.20

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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.