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Finding the Fourth Proportional to 306,712.80, 460,069.20 and 96,350.40

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Solution

The fourth proportional to 306,712.80, 460,069.20 and 96,350.40 is: 144,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,712.80 : 460,069.20 = 96,350.40 : x
  2. Step 2: Convert to fraction form
    306,712.80/460,069.20 = 96,350.40/x
  3. Step 3: Cross multiply
    306,712.80x = 460,069.20 × 96,350.40
  4. Step 4: Simplify right side
    306,712.80x = 44,327,851,447.68
  5. Step 5: Solve for x
    x = 44,327,851,447.68/306,712.80
  6. Step 6: Final answer
    x = 144,525.60

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1.5x scale

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.