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Finding the Fourth Proportional to 413,044.76, 569,992.20 and 231,752.72

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Solution

The fourth proportional to 413,044.76, 569,992.20 and 231,752.72 is: 319,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,044.76 : 569,992.20 = 231,752.72 : x
  2. Step 2: Convert to fraction form
    413,044.76/569,992.20 = 231,752.72/x
  3. Step 3: Cross multiply
    413,044.76x = 569,992.20 × 231,752.72
  4. Step 4: Simplify right side
    413,044.76x = 132,097,242,728.78
  5. Step 5: Solve for x
    x = 132,097,242,728.78/413,044.76
  6. Step 6: Final answer
    x = 319,813.38

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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.