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Finding the Fourth Proportional to 256,845.60, 385,268.40 and 157,312.80

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Solution

The fourth proportional to 256,845.60, 385,268.40 and 157,312.80 is: 235,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,845.60 : 385,268.40 = 157,312.80 : x
  2. Step 2: Convert to fraction form
    256,845.60/385,268.40 = 157,312.80/x
  3. Step 3: Cross multiply
    256,845.60x = 385,268.40 × 157,312.80
  4. Step 4: Simplify right side
    256,845.60x = 60,607,650,755.52
  5. Step 5: Solve for x
    x = 60,607,650,755.52/256,845.60
  6. Step 6: Final answer
    x = 235,969.20

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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.