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Finding the Fourth Proportional to 462,548.71, 693,922.00 and 138,362.20

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Solution

The fourth proportional to 462,548.71, 693,922.00 and 138,362.20 is: 207,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,548.71 : 693,922.00 = 138,362.20 : x
  2. Step 2: Convert to fraction form
    462,548.71/693,922.00 = 138,362.20/x
  3. Step 3: Cross multiply
    462,548.71x = 693,922.00 × 138,362.20
  4. Step 4: Simplify right side
    462,548.71x = 96,012,573,831.93
  5. Step 5: Solve for x
    x = 96,012,573,831.93/462,548.71
  6. Step 6: Final answer
    x = 207,572.89

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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.