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Finding the Fourth Proportional to 312,336.16, 431,024.08 and 169,096.24

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Solution

The fourth proportional to 312,336.16, 431,024.08 and 169,096.24 is: 233,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,336.16 : 431,024.08 = 169,096.24 : x
  2. Step 2: Convert to fraction form
    312,336.16/431,024.08 = 169,096.24/x
  3. Step 3: Cross multiply
    312,336.16x = 431,024.08 × 169,096.24
  4. Step 4: Simplify right side
    312,336.16x = 72,884,551,277.46
  5. Step 5: Solve for x
    x = 72,884,551,277.46/312,336.16
  6. Step 6: Final answer
    x = 233,352.91

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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.