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Finding the Fourth Proportional to 296,750.50, 409,515.14 and 160,787.90

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Solution

The fourth proportional to 296,750.50, 409,515.14 and 160,787.90 is: 221,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,750.50 : 409,515.14 = 160,787.90 : x
  2. Step 2: Convert to fraction form
    296,750.50/409,515.14 = 160,787.90/x
  3. Step 3: Cross multiply
    296,750.50x = 409,515.14 × 160,787.90
  4. Step 4: Simplify right side
    296,750.50x = 65,845,079,378.81
  5. Step 5: Solve for x
    x = 65,845,079,378.81/296,750.50
  6. Step 6: Final answer
    x = 221,887.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.