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Finding the Fourth Proportional to 314,704.37, 472,468.16 and 186,854.06

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Solution

The fourth proportional to 314,704.37, 472,468.16 and 186,854.06 is: 280,525.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,704.37 : 472,468.16 = 186,854.06 : x
  2. Step 2: Convert to fraction form
    314,704.37/472,468.16 = 186,854.06/x
  3. Step 3: Cross multiply
    314,704.37x = 472,468.16 × 186,854.06
  4. Step 4: Simplify right side
    314,704.37x = 88,282,595,565.04
  5. Step 5: Solve for x
    x = 88,282,595,565.04/314,704.37
  6. Step 6: Final answer
    x = 280,525.48

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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.