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Finding the Fourth Proportional to 334,668.84, 500,748.48 and 199,237.53

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Solution

The fourth proportional to 334,668.84, 500,748.48 and 199,237.53 is: 298,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,668.84 : 500,748.48 = 199,237.53 : x
  2. Step 2: Convert to fraction form
    334,668.84/500,748.48 = 199,237.53/x
  3. Step 3: Cross multiply
    334,668.84x = 500,748.48 × 199,237.53
  4. Step 4: Simplify right side
    334,668.84x = 99,767,890,306.45
  5. Step 5: Solve for x
    x = 99,767,890,306.45/334,668.84
  6. Step 6: Final answer
    x = 298,109.29

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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.