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Finding the Fourth Proportional to 357,752.04, 493,706.38 and 196,622.40

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Solution

The fourth proportional to 357,752.04, 493,706.38 and 196,622.40 is: 271,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,752.04 : 493,706.38 = 196,622.40 : x
  2. Step 2: Convert to fraction form
    357,752.04/493,706.38 = 196,622.40/x
  3. Step 3: Cross multiply
    357,752.04x = 493,706.38 × 196,622.40
  4. Step 4: Simplify right side
    357,752.04x = 97,073,733,330.91
  5. Step 5: Solve for x
    x = 97,073,733,330.91/357,752.04
  6. Step 6: Final answer
    x = 271,343.62

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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.