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Finding the Fourth Proportional to 308,138.40, 462,207.60 and 256,298.40

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Solution

The fourth proportional to 308,138.40, 462,207.60 and 256,298.40 is: 384,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,138.40 : 462,207.60 = 256,298.40 : x
  2. Step 2: Convert to fraction form
    308,138.40/462,207.60 = 256,298.40/x
  3. Step 3: Cross multiply
    308,138.40x = 462,207.60 × 256,298.40
  4. Step 4: Simplify right side
    308,138.40x = 118,463,068,347.84
  5. Step 5: Solve for x
    x = 118,463,068,347.84/308,138.40
  6. Step 6: Final answer
    x = 384,447.60

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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.