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Finding the Fourth Proportional to 519,142.91, 716,415.87 and 289,697.76

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Solution

The fourth proportional to 519,142.91, 716,415.87 and 289,697.76 is: 399,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,142.91 : 716,415.87 = 289,697.76 : x
  2. Step 2: Convert to fraction form
    519,142.91/716,415.87 = 289,697.76/x
  3. Step 3: Cross multiply
    519,142.91x = 716,415.87 × 289,697.76
  4. Step 4: Simplify right side
    519,142.91x = 207,544,069,394.57
  5. Step 5: Solve for x
    x = 207,544,069,394.57/519,142.91
  6. Step 6: Final answer
    x = 399,782.16

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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.