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Finding the Fourth Proportional to 306,978.87, 460,445.83 and 96,676.95

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Solution

The fourth proportional to 306,978.87, 460,445.83 and 96,676.95 is: 145,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,978.87 : 460,445.83 = 96,676.95 : x
  2. Step 2: Convert to fraction form
    306,978.87/460,445.83 = 96,676.95/x
  3. Step 3: Cross multiply
    306,978.87x = 460,445.83 × 96,676.95
  4. Step 4: Simplify right side
    306,978.87x = 44,514,498,242.93
  5. Step 5: Solve for x
    x = 44,514,498,242.93/306,978.87
  6. Step 6: Final answer
    x = 145,008.35

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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.