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Finding the Fourth Proportional to 256,265.10, 384,397.65 and 256,265.10

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Solution

The fourth proportional to 256,265.10, 384,397.65 and 256,265.10 is: 384,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,265.10 : 384,397.65 = 256,265.10 : x
  2. Step 2: Convert to fraction form
    256,265.10/384,397.65 = 256,265.10/x
  3. Step 3: Cross multiply
    256,265.10x = 384,397.65 × 256,265.10
  4. Step 4: Simplify right side
    256,265.10x = 98,507,702,217.02
  5. Step 5: Solve for x
    x = 98,507,702,217.02/256,265.10
  6. Step 6: Final answer
    x = 384,397.65

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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.