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Finding the Fourth Proportional to 493,292, 680,743.57 and 266,937.50

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Solution

The fourth proportional to 493,292, 680,743.57 and 266,937.50 is: 368,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,292 : 680,743.57 = 266,937.50 : x
  2. Step 2: Convert to fraction form
    493,292/680,743.57 = 266,937.50/x
  3. Step 3: Cross multiply
    493,292x = 680,743.57 × 266,937.50
  4. Step 4: Simplify right side
    493,292x = 181,715,986,716.88
  5. Step 5: Solve for x
    x = 181,715,986,716.88/493,292
  6. Step 6: Final answer
    x = 368,374.08

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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.