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Finding the Fourth Proportional to 362,042.98, 500,140.47 and 289,352.80

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Solution

The fourth proportional to 362,042.98, 500,140.47 and 289,352.80 is: 399,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,042.98 : 500,140.47 = 289,352.80 : x
  2. Step 2: Convert to fraction form
    362,042.98/500,140.47 = 289,352.80/x
  3. Step 3: Cross multiply
    362,042.98x = 500,140.47 × 289,352.80
  4. Step 4: Simplify right side
    362,042.98x = 144,717,045,387.82
  5. Step 5: Solve for x
    x = 144,717,045,387.82/362,042.98
  6. Step 6: Final answer
    x = 399,723.38

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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.