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Finding the Fourth Proportional to 349,801.64, 482,724.04 and 198,898.64

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Solution

The fourth proportional to 349,801.64, 482,724.04 and 198,898.64 is: 274,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,801.64 : 482,724.04 = 198,898.64 : x
  2. Step 2: Convert to fraction form
    349,801.64/482,724.04 = 198,898.64/x
  3. Step 3: Cross multiply
    349,801.64x = 482,724.04 × 198,898.64
  4. Step 4: Simplify right side
    349,801.64x = 96,013,155,051.31
  5. Step 5: Solve for x
    x = 96,013,155,051.31/349,801.64
  6. Step 6: Final answer
    x = 274,478.86

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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.