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Finding the Fourth Proportional to 515,602.88, 711,536.83 and 289,253.24

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Solution

The fourth proportional to 515,602.88, 711,536.83 and 289,253.24 is: 399,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,602.88 : 711,536.83 = 289,253.24 : x
  2. Step 2: Convert to fraction form
    515,602.88/711,536.83 = 289,253.24/x
  3. Step 3: Cross multiply
    515,602.88x = 711,536.83 × 289,253.24
  4. Step 4: Simplify right side
    515,602.88x = 205,814,333,456.83
  5. Step 5: Solve for x
    x = 205,814,333,456.83/515,602.88
  6. Step 6: Final answer
    x = 399,172.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.