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Finding the Fourth Proportional to 565,051.30, 847,571.78 and 227,853.16

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Solution

The fourth proportional to 565,051.30, 847,571.78 and 227,853.16 is: 341,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,051.30 : 847,571.78 = 227,853.16 : x
  2. Step 2: Convert to fraction form
    565,051.30/847,571.78 = 227,853.16/x
  3. Step 3: Cross multiply
    565,051.30x = 847,571.78 × 227,853.16
  4. Step 4: Simplify right side
    565,051.30x = 193,121,908,399.83
  5. Step 5: Solve for x
    x = 193,121,908,399.83/565,051.30
  6. Step 6: Final answer
    x = 341,777.66

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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.