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Finding the Fourth Proportional to 296,436.24, 409,080.51 and 160,470.45

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Solution

The fourth proportional to 296,436.24, 409,080.51 and 160,470.45 is: 221,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,436.24 : 409,080.51 = 160,470.45 : x
  2. Step 2: Convert to fraction form
    296,436.24/409,080.51 = 160,470.45/x
  3. Step 3: Cross multiply
    296,436.24x = 409,080.51 × 160,470.45
  4. Step 4: Simplify right side
    296,436.24x = 65,645,333,525.93
  5. Step 5: Solve for x
    x = 65,645,333,525.93/296,436.24
  6. Step 6: Final answer
    x = 221,448.41

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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.