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Finding the Fourth Proportional to 256,298.40, 384,332.40 and 98,474.40

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Solution

The fourth proportional to 256,298.40, 384,332.40 and 98,474.40 is: 147,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,298.40 : 384,332.40 = 98,474.40 : x
  2. Step 2: Convert to fraction form
    256,298.40/384,332.40 = 98,474.40/x
  3. Step 3: Cross multiply
    256,298.40x = 384,332.40 × 98,474.40
  4. Step 4: Simplify right side
    256,298.40x = 37,846,902,490.56
  5. Step 5: Solve for x
    x = 37,846,902,490.56/256,298.40
  6. Step 6: Final answer
    x = 147,667.34

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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.