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Finding the Fourth Proportional to 349,722.88, 525,109.20 and 200,132.08

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Solution

The fourth proportional to 349,722.88, 525,109.20 and 200,132.08 is: 300,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,722.88 : 525,109.20 = 200,132.08 : x
  2. Step 2: Convert to fraction form
    349,722.88/525,109.20 = 200,132.08/x
  3. Step 3: Cross multiply
    349,722.88x = 525,109.20 × 200,132.08
  4. Step 4: Simplify right side
    349,722.88x = 105,091,196,423.14
  5. Step 5: Solve for x
    x = 105,091,196,423.14/349,722.88
  6. Step 6: Final answer
    x = 300,498.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.