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Finding the Fourth Proportional to 296,440.32, 409,085.22 and 160,471.50

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Solution

The fourth proportional to 296,440.32, 409,085.22 and 160,471.50 is: 221,449.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,440.32 : 409,085.22 = 160,471.50 : x
  2. Step 2: Convert to fraction form
    296,440.32/409,085.22 = 160,471.50/x
  3. Step 3: Cross multiply
    296,440.32x = 409,085.22 × 160,471.50
  4. Step 4: Simplify right side
    296,440.32x = 65,646,518,881.23
  5. Step 5: Solve for x
    x = 65,646,518,881.23/296,440.32
  6. Step 6: Final answer
    x = 221,449.36

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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.