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Finding the Fourth Proportional to 493,010.48, 680,354.52 and 266,655.98

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Solution

The fourth proportional to 493,010.48, 680,354.52 and 266,655.98 is: 367,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,010.48 : 680,354.52 = 266,655.98 : x
  2. Step 2: Convert to fraction form
    493,010.48/680,354.52 = 266,655.98/x
  3. Step 3: Cross multiply
    493,010.48x = 680,354.52 × 266,655.98
  4. Step 4: Simplify right side
    493,010.48x = 181,420,601,278.03
  5. Step 5: Solve for x
    x = 181,420,601,278.03/493,010.48
  6. Step 6: Final answer
    x = 367,985.28

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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.