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Finding the Fourth Proportional to 299,059.48, 448,569.78 and 158,897.08

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Solution

The fourth proportional to 299,059.48, 448,569.78 and 158,897.08 is: 238,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,059.48 : 448,569.78 = 158,897.08 : x
  2. Step 2: Convert to fraction form
    299,059.48/448,569.78 = 158,897.08/x
  3. Step 3: Cross multiply
    299,059.48x = 448,569.78 × 158,897.08
  4. Step 4: Simplify right side
    299,059.48x = 71,276,428,218.24
  5. Step 5: Solve for x
    x = 71,276,428,218.24/299,059.48
  6. Step 6: Final answer
    x = 238,335.29

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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.