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Finding the Fourth Proportional to 315,541.80, 473,658.30 and 197,346.60

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Solution

The fourth proportional to 315,541.80, 473,658.30 and 197,346.60 is: 296,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,541.80 : 473,658.30 = 197,346.60 : x
  2. Step 2: Convert to fraction form
    315,541.80/473,658.30 = 197,346.60/x
  3. Step 3: Cross multiply
    315,541.80x = 473,658.30 × 197,346.60
  4. Step 4: Simplify right side
    315,541.80x = 93,474,855,066.78
  5. Step 5: Solve for x
    x = 93,474,855,066.78/315,541.80
  6. Step 6: Final answer
    x = 296,236.05

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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.