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Finding the Fourth Proportional to 577,005.48, 865,420.65 and 202,941

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Solution

The fourth proportional to 577,005.48, 865,420.65 and 202,941 is: 304,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,005.48 : 865,420.65 = 202,941 : x
  2. Step 2: Convert to fraction form
    577,005.48/865,420.65 = 202,941/x
  3. Step 3: Cross multiply
    577,005.48x = 865,420.65 × 202,941
  4. Step 4: Simplify right side
    577,005.48x = 175,629,332,131.65
  5. Step 5: Solve for x
    x = 175,629,332,131.65/577,005.48
  6. Step 6: Final answer
    x = 304,380.70

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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.