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Finding the Fourth Proportional to 413,080.52, 570,107.87 and 231,803.18

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Solution

The fourth proportional to 413,080.52, 570,107.87 and 231,803.18 is: 319,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,080.52 : 570,107.87 = 231,803.18 : x
  2. Step 2: Convert to fraction form
    413,080.52/570,107.87 = 231,803.18/x
  3. Step 3: Cross multiply
    413,080.52x = 570,107.87 × 231,803.18
  4. Step 4: Simplify right side
    413,080.52x = 132,152,813,199.47
  5. Step 5: Solve for x
    x = 132,152,813,199.47/413,080.52
  6. Step 6: Final answer
    x = 319,920.23

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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.