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Finding the Fourth Proportional to 256,459, 353,903.84 and 147,580.15

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Solution

The fourth proportional to 256,459, 353,903.84 and 147,580.15 is: 203,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,459 : 353,903.84 = 147,580.15 : x
  2. Step 2: Convert to fraction form
    256,459/353,903.84 = 147,580.15/x
  3. Step 3: Cross multiply
    256,459x = 353,903.84 × 147,580.15
  4. Step 4: Simplify right side
    256,459x = 52,229,181,054.88
  5. Step 5: Solve for x
    x = 52,229,181,054.88/256,459
  6. Step 6: Final answer
    x = 203,655.09

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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.