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Finding the Fourth Proportional to 349,155, 523,359.64 and 199,072.08

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Solution

The fourth proportional to 349,155, 523,359.64 and 199,072.08 is: 298,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,155 : 523,359.64 = 199,072.08 : x
  2. Step 2: Convert to fraction form
    349,155/523,359.64 = 199,072.08/x
  3. Step 3: Cross multiply
    349,155x = 523,359.64 × 199,072.08
  4. Step 4: Simplify right side
    349,155x = 104,186,292,122.85
  5. Step 5: Solve for x
    x = 104,186,292,122.85/349,155
  6. Step 6: Final answer
    x = 298,395.53

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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.