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Finding the Fourth Proportional to 393,456.02, 542,846.22 and 232,368.08

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Solution

The fourth proportional to 393,456.02, 542,846.22 and 232,368.08 is: 320,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,456.02 : 542,846.22 = 232,368.08 : x
  2. Step 2: Convert to fraction form
    393,456.02/542,846.22 = 232,368.08/x
  3. Step 3: Cross multiply
    393,456.02x = 542,846.22 × 232,368.08
  4. Step 4: Simplify right side
    393,456.02x = 126,140,133,876.66
  5. Step 5: Solve for x
    x = 126,140,133,876.66/393,456.02
  6. Step 6: Final answer
    x = 320,595.26

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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.