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Finding the Fourth Proportional to 314,817.80, 472,226.70 and 202,843.40

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Solution

The fourth proportional to 314,817.80, 472,226.70 and 202,843.40 is: 304,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,817.80 : 472,226.70 = 202,843.40 : x
  2. Step 2: Convert to fraction form
    314,817.80/472,226.70 = 202,843.40/x
  3. Step 3: Cross multiply
    314,817.80x = 472,226.70 × 202,843.40
  4. Step 4: Simplify right side
    314,817.80x = 95,788,069,398.78
  5. Step 5: Solve for x
    x = 95,788,069,398.78/314,817.80
  6. Step 6: Final answer
    x = 304,265.10

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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.