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Finding the Fourth Proportional to 256,411.40, 384,617.10 and 69,422.60

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Solution

The fourth proportional to 256,411.40, 384,617.10 and 69,422.60 is: 104,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,411.40 : 384,617.10 = 69,422.60 : x
  2. Step 2: Convert to fraction form
    256,411.40/384,617.10 = 69,422.60/x
  3. Step 3: Cross multiply
    256,411.40x = 384,617.10 × 69,422.60
  4. Step 4: Simplify right side
    256,411.40x = 26,701,119,086.46
  5. Step 5: Solve for x
    x = 26,701,119,086.46/256,411.40
  6. Step 6: Final answer
    x = 104,133.90

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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.