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Finding the Fourth Proportional to 518,057.01, 714,940.74 and 288,614.17

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Solution

The fourth proportional to 518,057.01, 714,940.74 and 288,614.17 is: 398,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,057.01 : 714,940.74 = 288,614.17 : x
  2. Step 2: Convert to fraction form
    518,057.01/714,940.74 = 288,614.17/x
  3. Step 3: Cross multiply
    518,057.01x = 714,940.74 × 288,614.17
  4. Step 4: Simplify right side
    518,057.01x = 206,342,023,256.51
  5. Step 5: Solve for x
    x = 206,342,023,256.51/518,057.01
  6. Step 6: Final answer
    x = 398,299.84

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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.