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Finding the Fourth Proportional to 357,827.60, 536,274.84 and 147,227.60

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Solution

The fourth proportional to 357,827.60, 536,274.84 and 147,227.60 is: 220,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,827.60 : 536,274.84 = 147,227.60 : x
  2. Step 2: Convert to fraction form
    357,827.60/536,274.84 = 147,227.60/x
  3. Step 3: Cross multiply
    357,827.60x = 536,274.84 × 147,227.60
  4. Step 4: Simplify right side
    357,827.60x = 78,954,457,633.58
  5. Step 5: Solve for x
    x = 78,954,457,633.58/357,827.60
  6. Step 6: Final answer
    x = 220,649.43

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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.