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Finding the Fourth Proportional to 462,215.40, 693,323.10 and 162,693.60

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Solution

The fourth proportional to 462,215.40, 693,323.10 and 162,693.60 is: 244,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,215.40 : 693,323.10 = 162,693.60 : x
  2. Step 2: Convert to fraction form
    462,215.40/693,323.10 = 162,693.60/x
  3. Step 3: Cross multiply
    462,215.40x = 693,323.10 × 162,693.60
  4. Step 4: Simplify right side
    462,215.40x = 112,799,231,102.16
  5. Step 5: Solve for x
    x = 112,799,231,102.16/462,215.40
  6. Step 6: Final answer
    x = 244,040.40

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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.