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Finding the Fourth Proportional to 465,802.92, 698,704.04 and 150,259.84

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Solution

The fourth proportional to 465,802.92, 698,704.04 and 150,259.84 is: 225,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802.92 : 698,704.04 = 150,259.84 : x
  2. Step 2: Convert to fraction form
    465,802.92/698,704.04 = 150,259.84/x
  3. Step 3: Cross multiply
    465,802.92x = 698,704.04 × 150,259.84
  4. Step 4: Simplify right side
    465,802.92x = 104,987,155,886.64
  5. Step 5: Solve for x
    x = 104,987,155,886.64/465,802.92
  6. Step 6: Final answer
    x = 225,389.65

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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.