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Finding the Fourth Proportional to 465,906.06, 698,833.98 and 150,363

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Solution

The fourth proportional to 465,906.06, 698,833.98 and 150,363 is: 225,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,906.06 : 698,833.98 = 150,363 : x
  2. Step 2: Convert to fraction form
    465,906.06/698,833.98 = 150,363/x
  3. Step 3: Cross multiply
    465,906.06x = 698,833.98 × 150,363
  4. Step 4: Simplify right side
    465,906.06x = 105,078,773,734.74
  5. Step 5: Solve for x
    x = 105,078,773,734.74/465,906.06
  6. Step 6: Final answer
    x = 225,536.40

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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.