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Finding the Fourth Proportional to 349,853.60, 523,570.80 and 209,712.80

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Solution

The fourth proportional to 349,853.60, 523,570.80 and 209,712.80 is: 313,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,853.60 : 523,570.80 = 209,712.80 : x
  2. Step 2: Convert to fraction form
    349,853.60/523,570.80 = 209,712.80/x
  3. Step 3: Cross multiply
    349,853.60x = 523,570.80 × 209,712.80
  4. Step 4: Simplify right side
    349,853.60x = 109,799,498,466.24
  5. Step 5: Solve for x
    x = 109,799,498,466.24/349,853.60
  6. Step 6: Final answer
    x = 313,844.13

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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.