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Finding the Fourth Proportional to 653,561.40, 901,896.73 and 363,165.46

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Solution

The fourth proportional to 653,561.40, 901,896.73 and 363,165.46 is: 501,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,561.40 : 901,896.73 = 363,165.46 : x
  2. Step 2: Convert to fraction form
    653,561.40/901,896.73 = 363,165.46/x
  3. Step 3: Cross multiply
    653,561.40x = 901,896.73 × 363,165.46
  4. Step 4: Simplify right side
    653,561.40x = 327,537,740,822.95
  5. Step 5: Solve for x
    x = 327,537,740,822.95/653,561.40
  6. Step 6: Final answer
    x = 501,158.33

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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.