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Finding the Fourth Proportional to 286,006.31, 428,998.22 and 86,321.26

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Solution

The fourth proportional to 286,006.31, 428,998.22 and 86,321.26 is: 129,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,006.31 : 428,998.22 = 86,321.26 : x
  2. Step 2: Convert to fraction form
    286,006.31/428,998.22 = 86,321.26/x
  3. Step 3: Cross multiply
    286,006.31x = 428,998.22 × 86,321.26
  4. Step 4: Simplify right side
    286,006.31x = 37,031,666,888.16
  5. Step 5: Solve for x
    x = 37,031,666,888.16/286,006.31
  6. Step 6: Final answer
    x = 129,478.50

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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.