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Finding the Fourth Proportional to 296,501.04, 409,168.50 and 160,531.50

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Solution

The fourth proportional to 296,501.04, 409,168.50 and 160,531.50 is: 221,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,501.04 : 409,168.50 = 160,531.50 : x
  2. Step 2: Convert to fraction form
    296,501.04/409,168.50 = 160,531.50/x
  3. Step 3: Cross multiply
    296,501.04x = 409,168.50 × 160,531.50
  4. Step 4: Simplify right side
    296,501.04x = 65,684,433,057.75
  5. Step 5: Solve for x
    x = 65,684,433,057.75/296,501.04
  6. Step 6: Final answer
    x = 221,531.88

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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.