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Finding the Fourth Proportional to 290,382.04, 435,634.62 and 103,393

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Solution

The fourth proportional to 290,382.04, 435,634.62 and 103,393 is: 155,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,382.04 : 435,634.62 = 103,393 : x
  2. Step 2: Convert to fraction form
    290,382.04/435,634.62 = 103,393/x
  3. Step 3: Cross multiply
    290,382.04x = 435,634.62 × 103,393
  4. Step 4: Simplify right side
    290,382.04x = 45,041,570,265.66
  5. Step 5: Solve for x
    x = 45,041,570,265.66/290,382.04
  6. Step 6: Final answer
    x = 155,111.42

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