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Finding the Fourth Proportional to 408,671.70, 612,982.86 and 152,454.93

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Solution

The fourth proportional to 408,671.70, 612,982.86 and 152,454.93 is: 228,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,671.70 : 612,982.86 = 152,454.93 : x
  2. Step 2: Convert to fraction form
    408,671.70/612,982.86 = 152,454.93/x
  3. Step 3: Cross multiply
    408,671.70x = 612,982.86 × 152,454.93
  4. Step 4: Simplify right side
    408,671.70x = 93,452,259,012.50
  5. Step 5: Solve for x
    x = 93,452,259,012.50/408,671.70
  6. Step 6: Final answer
    x = 228,673.18

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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.