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Finding the Fourth Proportional to 735,509, 1,101,208.01 and 397,338.12

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Solution

The fourth proportional to 735,509, 1,101,208.01 and 397,338.12 is: 594,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,509 : 1,101,208.01 = 397,338.12 : x
  2. Step 2: Convert to fraction form
    735,509/1,101,208.01 = 397,338.12/x
  3. Step 3: Cross multiply
    735,509x = 1,101,208.01 × 397,338.12
  4. Step 4: Simplify right side
    735,509x = 437,551,920,422.34
  5. Step 5: Solve for x
    x = 437,551,920,422.34/735,509
  6. Step 6: Final answer
    x = 594,896.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.