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Finding the Fourth Proportional to 349,098.60, 523,302.30 and 171,460.20

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Solution

The fourth proportional to 349,098.60, 523,302.30 and 171,460.20 is: 257,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,098.60 : 523,302.30 = 171,460.20 : x
  2. Step 2: Convert to fraction form
    349,098.60/523,302.30 = 171,460.20/x
  3. Step 3: Cross multiply
    349,098.60x = 523,302.30 × 171,460.20
  4. Step 4: Simplify right side
    349,098.60x = 89,725,517,018.46
  5. Step 5: Solve for x
    x = 89,725,517,018.46/349,098.60
  6. Step 6: Final answer
    x = 257,020.56

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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.