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Finding the Fourth Proportional to 465,690.13, 698,607.69 and 150,178.93

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Solution

The fourth proportional to 465,690.13, 698,607.69 and 150,178.93 is: 225,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,690.13 : 698,607.69 = 150,178.93 : x
  2. Step 2: Convert to fraction form
    465,690.13/698,607.69 = 150,178.93/x
  3. Step 3: Cross multiply
    465,690.13x = 698,607.69 × 150,178.93
  4. Step 4: Simplify right side
    465,690.13x = 104,916,155,373.97
  5. Step 5: Solve for x
    x = 104,916,155,373.97/465,690.13
  6. Step 6: Final answer
    x = 225,291.77

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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.