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Finding the Fourth Proportional to 462,328.48, 693,693.06 and 163,022.86

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Solution

The fourth proportional to 462,328.48, 693,693.06 and 163,022.86 is: 244,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,328.48 : 693,693.06 = 163,022.86 : x
  2. Step 2: Convert to fraction form
    462,328.48/693,693.06 = 163,022.86/x
  3. Step 3: Cross multiply
    462,328.48x = 693,693.06 × 163,022.86
  4. Step 4: Simplify right side
    462,328.48x = 113,087,826,603.35
  5. Step 5: Solve for x
    x = 113,087,826,603.35/462,328.48
  6. Step 6: Final answer
    x = 244,604.93

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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.