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Finding the Fourth Proportional to 254,401.60, 381,602.40 and 77,033.20

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Solution

The fourth proportional to 254,401.60, 381,602.40 and 77,033.20 is: 115,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,401.60 : 381,602.40 = 77,033.20 : x
  2. Step 2: Convert to fraction form
    254,401.60/381,602.40 = 77,033.20/x
  3. Step 3: Cross multiply
    254,401.60x = 381,602.40 × 77,033.20
  4. Step 4: Simplify right side
    254,401.60x = 29,396,053,999.68
  5. Step 5: Solve for x
    x = 29,396,053,999.68/254,401.60
  6. Step 6: Final answer
    x = 115,549.80

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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.