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Finding the Fourth Proportional to 312,320.64, 431,002.64 and 169,080.68

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Solution

The fourth proportional to 312,320.64, 431,002.64 and 169,080.68 is: 233,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,320.64 : 431,002.64 = 169,080.68 : x
  2. Step 2: Convert to fraction form
    312,320.64/431,002.64 = 169,080.68/x
  3. Step 3: Cross multiply
    312,320.64x = 431,002.64 × 169,080.68
  4. Step 4: Simplify right side
    312,320.64x = 72,874,219,453.00
  5. Step 5: Solve for x
    x = 72,874,219,453.00/312,320.64
  6. Step 6: Final answer
    x = 233,331.42

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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.