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Finding the Fourth Proportional to 310,127.53, 465,284.69 and 96,886.83

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Solution

The fourth proportional to 310,127.53, 465,284.69 and 96,886.83 is: 145,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,127.53 : 465,284.69 = 96,886.83 : x
  2. Step 2: Convert to fraction form
    310,127.53/465,284.69 = 96,886.83/x
  3. Step 3: Cross multiply
    310,127.53x = 465,284.69 × 96,886.83
  4. Step 4: Simplify right side
    310,127.53x = 45,079,959,340.41
  5. Step 5: Solve for x
    x = 45,079,959,340.41/310,127.53
  6. Step 6: Final answer
    x = 145,359.42

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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.