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Finding the Fourth Proportional to 349,733.60, 523,390.80 and 209,592.80

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Solution

The fourth proportional to 349,733.60, 523,390.80 and 209,592.80 is: 313,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,733.60 : 523,390.80 = 209,592.80 : x
  2. Step 2: Convert to fraction form
    349,733.60/523,390.80 = 209,592.80/x
  3. Step 3: Cross multiply
    349,733.60x = 523,390.80 × 209,592.80
  4. Step 4: Simplify right side
    349,733.60x = 109,698,943,266.24
  5. Step 5: Solve for x
    x = 109,698,943,266.24/349,733.60
  6. Step 6: Final answer
    x = 313,664.30

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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.