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Finding the Fourth Proportional to 413,070.34, 570,037.35 and 231,757.24

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Solution

The fourth proportional to 413,070.34, 570,037.35 and 231,757.24 is: 319,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,070.34 : 570,037.35 = 231,757.24 : x
  2. Step 2: Convert to fraction form
    413,070.34/570,037.35 = 231,757.24/x
  3. Step 3: Cross multiply
    413,070.34x = 570,037.35 × 231,757.24
  4. Step 4: Simplify right side
    413,070.34x = 132,110,282,932.91
  5. Step 5: Solve for x
    x = 132,110,282,932.91/413,070.34
  6. Step 6: Final answer
    x = 319,825.15

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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.