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Finding the Fourth Proportional to 392,052.25, 540,948.67 and 230,848.48

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Solution

The fourth proportional to 392,052.25, 540,948.67 and 230,848.48 is: 318,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,052.25 : 540,948.67 = 230,848.48 : x
  2. Step 2: Convert to fraction form
    392,052.25/540,948.67 = 230,848.48/x
  3. Step 3: Cross multiply
    392,052.25x = 540,948.67 × 230,848.48
  4. Step 4: Simplify right side
    392,052.25x = 124,877,178,227.52
  5. Step 5: Solve for x
    x = 124,877,178,227.52/392,052.25
  6. Step 6: Final answer
    x = 318,521.77

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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.