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Finding the Fourth Proportional to 256,403.60, 384,605.40 and 252,904.40

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Solution

The fourth proportional to 256,403.60, 384,605.40 and 252,904.40 is: 379,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,403.60 : 384,605.40 = 252,904.40 : x
  2. Step 2: Convert to fraction form
    256,403.60/384,605.40 = 252,904.40/x
  3. Step 3: Cross multiply
    256,403.60x = 384,605.40 × 252,904.40
  4. Step 4: Simplify right side
    256,403.60x = 97,268,397,923.76
  5. Step 5: Solve for x
    x = 97,268,397,923.76/256,403.60
  6. Step 6: Final answer
    x = 379,356.60

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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.