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Finding the Fourth Proportional to 348,114.06, 480,398.22 and 197,211.06

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Solution

The fourth proportional to 348,114.06, 480,398.22 and 197,211.06 is: 272,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,114.06 : 480,398.22 = 197,211.06 : x
  2. Step 2: Convert to fraction form
    348,114.06/480,398.22 = 197,211.06/x
  3. Step 3: Cross multiply
    348,114.06x = 480,398.22 × 197,211.06
  4. Step 4: Simplify right side
    348,114.06x = 94,739,842,188.31
  5. Step 5: Solve for x
    x = 94,739,842,188.31/348,114.06
  6. Step 6: Final answer
    x = 272,151.73

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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.