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Finding the Fourth Proportional to 296,626.74, 409,341.65 and 160,657.31

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Solution

The fourth proportional to 296,626.74, 409,341.65 and 160,657.31 is: 221,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,626.74 : 409,341.65 = 160,657.31 : x
  2. Step 2: Convert to fraction form
    296,626.74/409,341.65 = 160,657.31/x
  3. Step 3: Cross multiply
    296,626.74x = 409,341.65 × 160,657.31
  4. Step 4: Simplify right side
    296,626.74x = 65,763,725,509.97
  5. Step 5: Solve for x
    x = 65,763,725,509.97/296,626.74
  6. Step 6: Final answer
    x = 221,705.32

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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.