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Finding the Fourth Proportional to 297,911.16, 411,017.34 and 168,839.50

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Solution

The fourth proportional to 297,911.16, 411,017.34 and 168,839.50 is: 232,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,911.16 : 411,017.34 = 168,839.50 : x
  2. Step 2: Convert to fraction form
    297,911.16/411,017.34 = 168,839.50/x
  3. Step 3: Cross multiply
    297,911.16x = 411,017.34 × 168,839.50
  4. Step 4: Simplify right side
    297,911.16x = 69,395,962,176.93
  5. Step 5: Solve for x
    x = 69,395,962,176.93/297,911.16
  6. Step 6: Final answer
    x = 232,941.80

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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.