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Finding the Fourth Proportional to 517,582.74, 714,099.30 and 291,184.50

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Solution

The fourth proportional to 517,582.74, 714,099.30 and 291,184.50 is: 401,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,582.74 : 714,099.30 = 291,184.50 : x
  2. Step 2: Convert to fraction form
    517,582.74/714,099.30 = 291,184.50/x
  3. Step 3: Cross multiply
    517,582.74x = 714,099.30 × 291,184.50
  4. Step 4: Simplify right side
    517,582.74x = 207,934,647,620.85
  5. Step 5: Solve for x
    x = 207,934,647,620.85/517,582.74
  6. Step 6: Final answer
    x = 401,741.85

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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.