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Finding the Fourth Proportional to 362,259.92, 542,623.80 and 229,071.44

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Solution

The fourth proportional to 362,259.92, 542,623.80 and 229,071.44 is: 343,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,259.92 : 542,623.80 = 229,071.44 : x
  2. Step 2: Convert to fraction form
    362,259.92/542,623.80 = 229,071.44/x
  3. Step 3: Cross multiply
    362,259.92x = 542,623.80 × 229,071.44
  4. Step 4: Simplify right side
    362,259.92x = 124,299,615,244.27
  5. Step 5: Solve for x
    x = 124,299,615,244.27/362,259.92
  6. Step 6: Final answer
    x = 343,122.74

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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.