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Finding the Fourth Proportional to 288,009.09, 397,438.02 and 160,660.08

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Solution

The fourth proportional to 288,009.09, 397,438.02 and 160,660.08 is: 221,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,009.09 : 397,438.02 = 160,660.08 : x
  2. Step 2: Convert to fraction form
    288,009.09/397,438.02 = 160,660.08/x
  3. Step 3: Cross multiply
    288,009.09x = 397,438.02 × 160,660.08
  4. Step 4: Simplify right side
    288,009.09x = 63,852,424,088.24
  5. Step 5: Solve for x
    x = 63,852,424,088.24/288,009.09
  6. Step 6: Final answer
    x = 221,702.81

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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.