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Finding the Fourth Proportional to 516,814.89, 713,263.61 and 287,395.05

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Solution

The fourth proportional to 516,814.89, 713,263.61 and 287,395.05 is: 396,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,814.89 : 713,263.61 = 287,395.05 : x
  2. Step 2: Convert to fraction form
    516,814.89/713,263.61 = 287,395.05/x
  3. Step 3: Cross multiply
    516,814.89x = 713,263.61 × 287,395.05
  4. Step 4: Simplify right side
    516,814.89x = 204,988,429,422.16
  5. Step 5: Solve for x
    x = 204,988,429,422.16/516,814.89
  6. Step 6: Final answer
    x = 396,638.01

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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.