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Finding the Fourth Proportional to 465,774.80, 698,201.40 and 228,923.60

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Solution

The fourth proportional to 465,774.80, 698,201.40 and 228,923.60 is: 343,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,774.80 : 698,201.40 = 228,923.60 : x
  2. Step 2: Convert to fraction form
    465,774.80/698,201.40 = 228,923.60/x
  3. Step 3: Cross multiply
    465,774.80x = 698,201.40 × 228,923.60
  4. Step 4: Simplify right side
    465,774.80x = 159,834,778,013.04
  5. Step 5: Solve for x
    x = 159,834,778,013.04/465,774.80
  6. Step 6: Final answer
    x = 343,158.92

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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.