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Finding the Fourth Proportional to 663,142.88, 994,714.36 and 189,829.92

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Solution

The fourth proportional to 663,142.88, 994,714.36 and 189,829.92 is: 284,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,142.88 : 994,714.36 = 189,829.92 : x
  2. Step 2: Convert to fraction form
    663,142.88/994,714.36 = 189,829.92/x
  3. Step 3: Cross multiply
    663,142.88x = 994,714.36 × 189,829.92
  4. Step 4: Simplify right side
    663,142.88x = 188,826,547,381.65
  5. Step 5: Solve for x
    x = 188,826,547,381.65/663,142.88
  6. Step 6: Final answer
    x = 284,744.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.