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Finding the Fourth Proportional to 292,869.74, 438,803.12 and 159,843.38

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Solution

The fourth proportional to 292,869.74, 438,803.12 and 159,843.38 is: 239,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,869.74 : 438,803.12 = 159,843.38 : x
  2. Step 2: Convert to fraction form
    292,869.74/438,803.12 = 159,843.38/x
  3. Step 3: Cross multiply
    292,869.74x = 438,803.12 × 159,843.38
  4. Step 4: Simplify right side
    292,869.74x = 70,139,772,060.94
  5. Step 5: Solve for x
    x = 70,139,772,060.94/292,869.74
  6. Step 6: Final answer
    x = 239,491.36

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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.