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Finding the Fourth Proportional to 413,024.67, 570,038.31 and 231,809.85

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Solution

The fourth proportional to 413,024.67, 570,038.31 and 231,809.85 is: 319,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,024.67 : 570,038.31 = 231,809.85 : x
  2. Step 2: Convert to fraction form
    413,024.67/570,038.31 = 231,809.85/x
  3. Step 3: Cross multiply
    413,024.67x = 570,038.31 × 231,809.85
  4. Step 4: Simplify right side
    413,024.67x = 132,140,495,135.35
  5. Step 5: Solve for x
    x = 132,140,495,135.35/413,024.67
  6. Step 6: Final answer
    x = 319,933.66

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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.