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Finding the Fourth Proportional to 402,716.26, 604,060.44 and 103,199.32

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Solution

The fourth proportional to 402,716.26, 604,060.44 and 103,199.32 is: 154,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,716.26 : 604,060.44 = 103,199.32 : x
  2. Step 2: Convert to fraction form
    402,716.26/604,060.44 = 103,199.32/x
  3. Step 3: Cross multiply
    402,716.26x = 604,060.44 × 103,199.32
  4. Step 4: Simplify right side
    402,716.26x = 62,338,626,646.90
  5. Step 5: Solve for x
    x = 62,338,626,646.90/402,716.26
  6. Step 6: Final answer
    x = 154,795.41

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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.