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Finding the Fourth Proportional to 256,329.38, 353,744.64 and 147,433.53

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Solution

The fourth proportional to 256,329.38, 353,744.64 and 147,433.53 is: 203,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,329.38 : 353,744.64 = 147,433.53 : x
  2. Step 2: Convert to fraction form
    256,329.38/353,744.64 = 147,433.53/x
  3. Step 3: Cross multiply
    256,329.38x = 353,744.64 × 147,433.53
  4. Step 4: Simplify right side
    256,329.38x = 52,153,820,993.78
  5. Step 5: Solve for x
    x = 52,153,820,993.78/256,329.38
  6. Step 6: Final answer
    x = 203,464.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.