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Finding the Fourth Proportional to 306,854.61, 460,354.31 and 96,492.55

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Solution

The fourth proportional to 306,854.61, 460,354.31 and 96,492.55 is: 144,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,854.61 : 460,354.31 = 96,492.55 : x
  2. Step 2: Convert to fraction form
    306,854.61/460,354.31 = 96,492.55/x
  3. Step 3: Cross multiply
    306,854.61x = 460,354.31 × 96,492.55
  4. Step 4: Simplify right side
    306,854.61x = 44,420,760,365.74
  5. Step 5: Solve for x
    x = 44,420,760,365.74/306,854.61
  6. Step 6: Final answer
    x = 144,761.59

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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.