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Finding the Fourth Proportional to 287,420.27, 396,643.77 and 160,095.83

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Solution

The fourth proportional to 287,420.27, 396,643.77 and 160,095.83 is: 220,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,420.27 : 396,643.77 = 160,095.83 : x
  2. Step 2: Convert to fraction form
    287,420.27/396,643.77 = 160,095.83/x
  3. Step 3: Cross multiply
    287,420.27x = 396,643.77 × 160,095.83
  4. Step 4: Simplify right side
    287,420.27x = 63,501,011,589.26
  5. Step 5: Solve for x
    x = 63,501,011,589.26/287,420.27
  6. Step 6: Final answer
    x = 220,934.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.