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Finding the Fourth Proportional to 257,803.50, 386,689.71 and 153,287.58

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Solution

The fourth proportional to 257,803.50, 386,689.71 and 153,287.58 is: 229,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,803.50 : 386,689.71 = 153,287.58 : x
  2. Step 2: Convert to fraction form
    257,803.50/386,689.71 = 153,287.58/x
  3. Step 3: Cross multiply
    257,803.50x = 386,689.71 × 153,287.58
  4. Step 4: Simplify right side
    257,803.50x = 59,274,729,856.80
  5. Step 5: Solve for x
    x = 59,274,729,856.80/257,803.50
  6. Step 6: Final answer
    x = 229,922.13

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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.