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Finding the Fourth Proportional to 288,004.09, 397,431.12 and 160,655.08

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Solution

The fourth proportional to 288,004.09, 397,431.12 and 160,655.08 is: 221,695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.09 : 397,431.12 = 160,655.08 : x
  2. Step 2: Convert to fraction form
    288,004.09/397,431.12 = 160,655.08/x
  3. Step 3: Cross multiply
    288,004.09x = 397,431.12 × 160,655.08
  4. Step 4: Simplify right side
    288,004.09x = 63,849,328,378.09
  5. Step 5: Solve for x
    x = 63,849,328,378.09/288,004.09
  6. Step 6: Final answer
    x = 221,695.91

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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.