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Finding the Fourth Proportional to 384,042.18, 575,816.60 and 159,557.70

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Solution

The fourth proportional to 384,042.18, 575,816.60 and 159,557.70 is: 239,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,042.18 : 575,816.60 = 159,557.70 : x
  2. Step 2: Convert to fraction form
    384,042.18/575,816.60 = 159,557.70/x
  3. Step 3: Cross multiply
    384,042.18x = 575,816.60 × 159,557.70
  4. Step 4: Simplify right side
    384,042.18x = 91,875,972,317.82
  5. Step 5: Solve for x
    x = 91,875,972,317.82/384,042.18
  6. Step 6: Final answer
    x = 239,234.07

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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.