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Finding the Fourth Proportional to 256,319.40, 384,479.10 and 151,343.40

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Solution

The fourth proportional to 256,319.40, 384,479.10 and 151,343.40 is: 227,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,319.40 : 384,479.10 = 151,343.40 : x
  2. Step 2: Convert to fraction form
    256,319.40/384,479.10 = 151,343.40/x
  3. Step 3: Cross multiply
    256,319.40x = 384,479.10 × 151,343.40
  4. Step 4: Simplify right side
    256,319.40x = 58,188,374,222.94
  5. Step 5: Solve for x
    x = 58,188,374,222.94/256,319.40
  6. Step 6: Final answer
    x = 227,015.10

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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.