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Finding the Fourth Proportional to 517,457.34, 714,073.62 and 291,059.10

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Solution

The fourth proportional to 517,457.34, 714,073.62 and 291,059.10 is: 401,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,457.34 : 714,073.62 = 291,059.10 : x
  2. Step 2: Convert to fraction form
    517,457.34/714,073.62 = 291,059.10/x
  3. Step 3: Cross multiply
    517,457.34x = 714,073.62 × 291,059.10
  4. Step 4: Simplify right side
    517,457.34x = 207,837,625,170.94
  5. Step 5: Solve for x
    x = 207,837,625,170.94/517,457.34
  6. Step 6: Final answer
    x = 401,651.71

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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.