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Finding the Fourth Proportional to 314,704.35, 472,468.11 and 186,854.01

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Solution

The fourth proportional to 314,704.35, 472,468.11 and 186,854.01 is: 280,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,704.35 : 472,468.11 = 186,854.01 : x
  2. Step 2: Convert to fraction form
    314,704.35/472,468.11 = 186,854.01/x
  3. Step 3: Cross multiply
    314,704.35x = 472,468.11 × 186,854.01
  4. Step 4: Simplify right side
    314,704.35x = 88,282,560,950.62
  5. Step 5: Solve for x
    x = 88,282,560,950.62/314,704.35
  6. Step 6: Final answer
    x = 280,525.39

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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.