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Finding the Fourth Proportional to 652,645.26, 900,704.75 and 362,284.16

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Solution

The fourth proportional to 652,645.26, 900,704.75 and 362,284.16 is: 499,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,645.26 : 900,704.75 = 362,284.16 : x
  2. Step 2: Convert to fraction form
    652,645.26/900,704.75 = 362,284.16/x
  3. Step 3: Cross multiply
    652,645.26x = 900,704.75 × 362,284.16
  4. Step 4: Simplify right side
    652,645.26x = 326,311,057,446.82
  5. Step 5: Solve for x
    x = 326,311,057,446.82/652,645.26
  6. Step 6: Final answer
    x = 499,982.27

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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.