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Finding the Fourth Proportional to 229,712.20, 343,877.10 and 202,064.20

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Solution

The fourth proportional to 229,712.20, 343,877.10 and 202,064.20 is: 302,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,712.20 : 343,877.10 = 202,064.20 : x
  2. Step 2: Convert to fraction form
    229,712.20/343,877.10 = 202,064.20/x
  3. Step 3: Cross multiply
    229,712.20x = 343,877.10 × 202,064.20
  4. Step 4: Simplify right side
    229,712.20x = 69,485,251,109.82
  5. Step 5: Solve for x
    x = 69,485,251,109.82/229,712.20
  6. Step 6: Final answer
    x = 302,488.29

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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.