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Finding the Fourth Proportional to 389,780.80, 584,671.20 and 153,044.80

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Solution

The fourth proportional to 389,780.80, 584,671.20 and 153,044.80 is: 229,567.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,780.80 : 584,671.20 = 153,044.80 : x
  2. Step 2: Convert to fraction form
    389,780.80/584,671.20 = 153,044.80/x
  3. Step 3: Cross multiply
    389,780.80x = 584,671.20 × 153,044.80
  4. Step 4: Simplify right side
    389,780.80x = 89,480,886,869.76
  5. Step 5: Solve for x
    x = 89,480,886,869.76/389,780.80
  6. Step 6: Final answer
    x = 229,567.20

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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.