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Finding the Fourth Proportional to 404,098.08, 606,234.56 and 154,780

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Solution

The fourth proportional to 404,098.08, 606,234.56 and 154,780 is: 232,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,098.08 : 606,234.56 = 154,780 : x
  2. Step 2: Convert to fraction form
    404,098.08/606,234.56 = 154,780/x
  3. Step 3: Cross multiply
    404,098.08x = 606,234.56 × 154,780
  4. Step 4: Simplify right side
    404,098.08x = 93,832,985,196.80
  5. Step 5: Solve for x
    x = 93,832,985,196.80/404,098.08
  6. Step 6: Final answer
    x = 232,203.49

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