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Finding the Fourth Proportional to 256,727.58, 384,949.11 and 105,031.17

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Solution

The fourth proportional to 256,727.58, 384,949.11 and 105,031.17 is: 157,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,727.58 : 384,949.11 = 105,031.17 : x
  2. Step 2: Convert to fraction form
    256,727.58/384,949.11 = 105,031.17/x
  3. Step 3: Cross multiply
    256,727.58x = 384,949.11 × 105,031.17
  4. Step 4: Simplify right side
    256,727.58x = 40,431,655,413.76
  5. Step 5: Solve for x
    x = 40,431,655,413.76/256,727.58
  6. Step 6: Final answer
    x = 157,488.55

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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.