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Finding the Fourth Proportional to 474,956, 655,431.34 and 257,162.92

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Solution

The fourth proportional to 474,956, 655,431.34 and 257,162.92 is: 354,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,956 : 655,431.34 = 257,162.92 : x
  2. Step 2: Convert to fraction form
    474,956/655,431.34 = 257,162.92/x
  3. Step 3: Cross multiply
    474,956x = 655,431.34 × 257,162.92
  4. Step 4: Simplify right side
    474,956x = 168,552,637,253.91
  5. Step 5: Solve for x
    x = 168,552,637,253.91/474,956
  6. Step 6: Final answer
    x = 354,880.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.