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Finding the Fourth Proportional to 233,309.40, 349,964.10 and 115,211.40

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Solution

The fourth proportional to 233,309.40, 349,964.10 and 115,211.40 is: 172,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,309.40 : 349,964.10 = 115,211.40 : x
  2. Step 2: Convert to fraction form
    233,309.40/349,964.10 = 115,211.40/x
  3. Step 3: Cross multiply
    233,309.40x = 349,964.10 × 115,211.40
  4. Step 4: Simplify right side
    233,309.40x = 40,319,853,910.74
  5. Step 5: Solve for x
    x = 40,319,853,910.74/233,309.40
  6. Step 6: Final answer
    x = 172,817.10

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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.