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Finding the Fourth Proportional to 256,975.36, 384,624.68 and 232,422.64

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Solution

The fourth proportional to 256,975.36, 384,624.68 and 232,422.64 is: 347,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,975.36 : 384,624.68 = 232,422.64 : x
  2. Step 2: Convert to fraction form
    256,975.36/384,624.68 = 232,422.64/x
  3. Step 3: Cross multiply
    256,975.36x = 384,624.68 × 232,422.64
  4. Step 4: Simplify right side
    256,975.36x = 89,395,481,411.08
  5. Step 5: Solve for x
    x = 89,395,481,411.08/256,975.36
  6. Step 6: Final answer
    x = 347,875.70

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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.