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Finding the Fourth Proportional to 565,095, 847,548.20 and 186,019.86

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Solution

The fourth proportional to 565,095, 847,548.20 and 186,019.86 is: 278,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,095 : 847,548.20 = 186,019.86 : x
  2. Step 2: Convert to fraction form
    565,095/847,548.20 = 186,019.86/x
  3. Step 3: Cross multiply
    565,095x = 847,548.20 × 186,019.86
  4. Step 4: Simplify right side
    565,095x = 157,660,797,507.25
  5. Step 5: Solve for x
    x = 157,660,797,507.25/565,095
  6. Step 6: Final answer
    x = 278,998.75

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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.