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Finding the Fourth Proportional to 316,485.47, 474,400.10 and 197,884.46

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Solution

The fourth proportional to 316,485.47, 474,400.10 and 197,884.46 is: 296,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,485.47 : 474,400.10 = 197,884.46 : x
  2. Step 2: Convert to fraction form
    316,485.47/474,400.10 = 197,884.46/x
  3. Step 3: Cross multiply
    316,485.47x = 474,400.10 × 197,884.46
  4. Step 4: Simplify right side
    316,485.47x = 93,876,404,251.02
  5. Step 5: Solve for x
    x = 93,876,404,251.02/316,485.47
  6. Step 6: Final answer
    x = 296,621.53

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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.