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Finding the Fourth Proportional to 517,467.42, 714,103.92 and 291,112.92

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Solution

The fourth proportional to 517,467.42, 714,103.92 and 291,112.92 is: 401,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,467.42 : 714,103.92 = 291,112.92 : x
  2. Step 2: Convert to fraction form
    517,467.42/714,103.92 = 291,112.92/x
  3. Step 3: Cross multiply
    517,467.42x = 714,103.92 × 291,112.92
  4. Step 4: Simplify right side
    517,467.42x = 207,884,877,334.65
  5. Step 5: Solve for x
    x = 207,884,877,334.65/517,467.42
  6. Step 6: Final answer
    x = 401,735.20

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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.