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Finding the Fourth Proportional to 577,006.48, 865,422.15 and 202,942

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Solution

The fourth proportional to 577,006.48, 865,422.15 and 202,942 is: 304,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,006.48 : 865,422.15 = 202,942 : x
  2. Step 2: Convert to fraction form
    577,006.48/865,422.15 = 202,942/x
  3. Step 3: Cross multiply
    577,006.48x = 865,422.15 × 202,942
  4. Step 4: Simplify right side
    577,006.48x = 175,630,501,965.30
  5. Step 5: Solve for x
    x = 175,630,501,965.30/577,006.48
  6. Step 6: Final answer
    x = 304,382.20

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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.