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Finding the Fourth Proportional to 347,041.77, 478,942.06 and 194,094.20

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Solution

The fourth proportional to 347,041.77, 478,942.06 and 194,094.20 is: 267,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,041.77 : 478,942.06 = 194,094.20 : x
  2. Step 2: Convert to fraction form
    347,041.77/478,942.06 = 194,094.20/x
  3. Step 3: Cross multiply
    347,041.77x = 478,942.06 × 194,094.20
  4. Step 4: Simplify right side
    347,041.77x = 92,959,875,165.18
  5. Step 5: Solve for x
    x = 92,959,875,165.18/347,041.77
  6. Step 6: Final answer
    x = 267,863.65

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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.