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Finding the Fourth Proportional to 565,510.27, 780,405.02 and 310,863.01

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Solution

The fourth proportional to 565,510.27, 780,405.02 and 310,863.01 is: 428,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,510.27 : 780,405.02 = 310,863.01 : x
  2. Step 2: Convert to fraction form
    565,510.27/780,405.02 = 310,863.01/x
  3. Step 3: Cross multiply
    565,510.27x = 780,405.02 × 310,863.01
  4. Step 4: Simplify right side
    565,510.27x = 242,599,053,536.31
  5. Step 5: Solve for x
    x = 242,599,053,536.31/565,510.27
  6. Step 6: Final answer
    x = 428,991.42

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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.