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Finding the Fourth Proportional to 398,605.61, 597,592.67 and 198,823.16

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Solution

The fourth proportional to 398,605.61, 597,592.67 and 198,823.16 is: 298,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,605.61 : 597,592.67 = 198,823.16 : x
  2. Step 2: Convert to fraction form
    398,605.61/597,592.67 = 198,823.16/x
  3. Step 3: Cross multiply
    398,605.61x = 597,592.67 × 198,823.16
  4. Step 4: Simplify right side
    398,605.61x = 118,815,263,042.24
  5. Step 5: Solve for x
    x = 118,815,263,042.24/398,605.61
  6. Step 6: Final answer
    x = 298,077.25

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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.