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Finding the Fourth Proportional to 347,041.68, 478,914.80 and 194,080.10

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Solution

The fourth proportional to 347,041.68, 478,914.80 and 194,080.10 is: 267,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,041.68 : 478,914.80 = 194,080.10 : x
  2. Step 2: Convert to fraction form
    347,041.68/478,914.80 = 194,080.10/x
  3. Step 3: Cross multiply
    347,041.68x = 478,914.80 × 194,080.10
  4. Step 4: Simplify right side
    347,041.68x = 92,947,832,275.48
  5. Step 5: Solve for x
    x = 92,947,832,275.48/347,041.68
  6. Step 6: Final answer
    x = 267,829.02

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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.