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Finding the Fourth Proportional to 257,724.20, 346,821.75 and 257,724.20

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Solution

The fourth proportional to 257,724.20, 346,821.75 and 257,724.20 is: 346,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,724.20 : 346,821.75 = 257,724.20 : x
  2. Step 2: Convert to fraction form
    257,724.20/346,821.75 = 257,724.20/x
  3. Step 3: Cross multiply
    257,724.20x = 346,821.75 × 257,724.20
  4. Step 4: Simplify right side
    257,724.20x = 89,384,358,061.35
  5. Step 5: Solve for x
    x = 89,384,358,061.35/257,724.20
  6. Step 6: Final answer
    x = 346,821.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.