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Finding the Fourth Proportional to 565,311.88, 780,125.46 and 307,186.12

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Solution

The fourth proportional to 565,311.88, 780,125.46 and 307,186.12 is: 423,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,311.88 : 780,125.46 = 307,186.12 : x
  2. Step 2: Convert to fraction form
    565,311.88/780,125.46 = 307,186.12/x
  3. Step 3: Cross multiply
    565,311.88x = 780,125.46 × 307,186.12
  4. Step 4: Simplify right side
    565,311.88x = 239,643,713,170.62
  5. Step 5: Solve for x
    x = 239,643,713,170.62/565,311.88
  6. Step 6: Final answer
    x = 423,914.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.