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Finding the Fourth Proportional to 340,193.40, 510,290.10 and 293,537.40

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Solution

The fourth proportional to 340,193.40, 510,290.10 and 293,537.40 is: 440,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,193.40 : 510,290.10 = 293,537.40 : x
  2. Step 2: Convert to fraction form
    340,193.40/510,290.10 = 293,537.40/x
  3. Step 3: Cross multiply
    340,193.40x = 510,290.10 × 293,537.40
  4. Step 4: Simplify right side
    340,193.40x = 149,789,229,199.74
  5. Step 5: Solve for x
    x = 149,789,229,199.74/340,193.40
  6. Step 6: Final answer
    x = 440,306.10

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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.