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Finding the Fourth Proportional to 357,530.56, 536,521.74 and 199,862.44

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Solution

The fourth proportional to 357,530.56, 536,521.74 and 199,862.44 is: 299,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,530.56 : 536,521.74 = 199,862.44 : x
  2. Step 2: Convert to fraction form
    357,530.56/536,521.74 = 199,862.44/x
  3. Step 3: Cross multiply
    357,530.56x = 536,521.74 × 199,862.44
  4. Step 4: Simplify right side
    357,530.56x = 107,230,544,069.45
  5. Step 5: Solve for x
    x = 107,230,544,069.45/357,530.56
  6. Step 6: Final answer
    x = 299,919.94

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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.