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Finding the Fourth Proportional to 413,048.76, 569,972.34 and 231,736.20

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Solution

The fourth proportional to 413,048.76, 569,972.34 and 231,736.20 is: 319,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,048.76 : 569,972.34 = 231,736.20 : x
  2. Step 2: Convert to fraction form
    413,048.76/569,972.34 = 231,736.20/x
  3. Step 3: Cross multiply
    413,048.76x = 569,972.34 × 231,736.20
  4. Step 4: Simplify right side
    413,048.76x = 132,083,224,176.71
  5. Step 5: Solve for x
    x = 132,083,224,176.71/413,048.76
  6. Step 6: Final answer
    x = 319,776.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.