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Finding the Fourth Proportional to 314,468.16, 433,959.84 and 171,229.92

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Solution

The fourth proportional to 314,468.16, 433,959.84 and 171,229.92 is: 236,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,468.16 : 433,959.84 = 171,229.92 : x
  2. Step 2: Convert to fraction form
    314,468.16/433,959.84 = 171,229.92/x
  3. Step 3: Cross multiply
    314,468.16x = 433,959.84 × 171,229.92
  4. Step 4: Simplify right side
    314,468.16x = 74,306,908,686.41
  5. Step 5: Solve for x
    x = 74,306,908,686.41/314,468.16
  6. Step 6: Final answer
    x = 236,293.90

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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.