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Finding the Fourth Proportional to 312,515.52, 431,271.54 and 169,275.12

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Solution

The fourth proportional to 312,515.52, 431,271.54 and 169,275.12 is: 233,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,515.52 : 431,271.54 = 169,275.12 : x
  2. Step 2: Convert to fraction form
    312,515.52/431,271.54 = 169,275.12/x
  3. Step 3: Cross multiply
    312,515.52x = 431,271.54 × 169,275.12
  4. Step 4: Simplify right side
    312,515.52x = 73,003,541,686.08
  5. Step 5: Solve for x
    x = 73,003,541,686.08/312,515.52
  6. Step 6: Final answer
    x = 233,599.73

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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.