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Finding the Fourth Proportional to 519,011.94, 716,241.62 and 289,567.28

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Solution

The fourth proportional to 519,011.94, 716,241.62 and 289,567.28 is: 399,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,011.94 : 716,241.62 = 289,567.28 : x
  2. Step 2: Convert to fraction form
    519,011.94/716,241.62 = 289,567.28/x
  3. Step 3: Cross multiply
    519,011.94x = 716,241.62 × 289,567.28
  4. Step 4: Simplify right side
    519,011.94x = 207,400,137,726.19
  5. Step 5: Solve for x
    x = 207,400,137,726.19/519,011.94
  6. Step 6: Final answer
    x = 399,605.72

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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.