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Finding the Fourth Proportional to 532,942.48, 735,451.70 and 291,219.48

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Solution

The fourth proportional to 532,942.48, 735,451.70 and 291,219.48 is: 401,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,942.48 : 735,451.70 = 291,219.48 : x
  2. Step 2: Convert to fraction form
    532,942.48/735,451.70 = 291,219.48/x
  3. Step 3: Cross multiply
    532,942.48x = 735,451.70 × 291,219.48
  4. Step 4: Simplify right side
    532,942.48x = 214,177,861,639.12
  5. Step 5: Solve for x
    x = 214,177,861,639.12/532,942.48
  6. Step 6: Final answer
    x = 401,878.01

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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.