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Finding the Fourth Proportional to 316,901.47, 475,032.34 and 198,655.85

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Solution

The fourth proportional to 316,901.47, 475,032.34 and 198,655.85 is: 297,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,901.47 : 475,032.34 = 198,655.85 : x
  2. Step 2: Convert to fraction form
    316,901.47/475,032.34 = 198,655.85/x
  3. Step 3: Cross multiply
    316,901.47x = 475,032.34 × 198,655.85
  4. Step 4: Simplify right side
    316,901.47x = 94,367,949,911.75
  5. Step 5: Solve for x
    x = 94,367,949,911.75/316,901.47
  6. Step 6: Final answer
    x = 297,783.26

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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.