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Finding the Fourth Proportional to 313,101.18, 432,087.12 and 185,777.64

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Solution

The fourth proportional to 313,101.18, 432,087.12 and 185,777.64 is: 256,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,101.18 : 432,087.12 = 185,777.64 : x
  2. Step 2: Convert to fraction form
    313,101.18/432,087.12 = 185,777.64/x
  3. Step 3: Cross multiply
    313,101.18x = 432,087.12 × 185,777.64
  4. Step 4: Simplify right side
    313,101.18x = 80,272,125,428.00
  5. Step 5: Solve for x
    x = 80,272,125,428.00/313,101.18
  6. Step 6: Final answer
    x = 256,377.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.