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Finding the Fourth Proportional to 577,970.16, 866,740.18 and 198,784.45

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Solution

The fourth proportional to 577,970.16, 866,740.18 and 198,784.45 is: 298,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,970.16 : 866,740.18 = 198,784.45 : x
  2. Step 2: Convert to fraction form
    577,970.16/866,740.18 = 198,784.45/x
  3. Step 3: Cross multiply
    577,970.16x = 866,740.18 × 198,784.45
  4. Step 4: Simplify right side
    577,970.16x = 172,294,469,974.20
  5. Step 5: Solve for x
    x = 172,294,469,974.20/577,970.16
  6. Step 6: Final answer
    x = 298,102.71

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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.