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Finding the Fourth Proportional to 413,442.33, 570,578.78 and 229,703.04

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Solution

The fourth proportional to 413,442.33, 570,578.78 and 229,703.04 is: 317,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,442.33 : 570,578.78 = 229,703.04 : x
  2. Step 2: Convert to fraction form
    413,442.33/570,578.78 = 229,703.04/x
  3. Step 3: Cross multiply
    413,442.33x = 570,578.78 × 229,703.04
  4. Step 4: Simplify right side
    413,442.33x = 131,063,680,899.75
  5. Step 5: Solve for x
    x = 131,063,680,899.75/413,442.33
  6. Step 6: Final answer
    x = 317,005.96

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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.