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Finding the Fourth Proportional to 577,010.48, 865,428.14 and 202,946

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Solution

The fourth proportional to 577,010.48, 865,428.14 and 202,946 is: 304,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,010.48 : 865,428.14 = 202,946 : x
  2. Step 2: Convert to fraction form
    577,010.48/865,428.14 = 202,946/x
  3. Step 3: Cross multiply
    577,010.48x = 865,428.14 × 202,946
  4. Step 4: Simplify right side
    577,010.48x = 175,635,179,300.44
  5. Step 5: Solve for x
    x = 175,635,179,300.44/577,010.48
  6. Step 6: Final answer
    x = 304,388.20

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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.