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Finding the Fourth Proportional to 510,111.42, 703,957.86 and 283,756.92

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Solution

The fourth proportional to 510,111.42, 703,957.86 and 283,756.92 is: 391,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,111.42 : 703,957.86 = 283,756.92 : x
  2. Step 2: Convert to fraction form
    510,111.42/703,957.86 = 283,756.92/x
  3. Step 3: Cross multiply
    510,111.42x = 703,957.86 × 283,756.92
  4. Step 4: Simplify right side
    510,111.42x = 199,752,914,163.39
  5. Step 5: Solve for x
    x = 199,752,914,163.39/510,111.42
  6. Step 6: Final answer
    x = 391,586.83

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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.