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Finding the Fourth Proportional to 493,075.50, 680,444.80 and 266,721

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Solution

The fourth proportional to 493,075.50, 680,444.80 and 266,721 is: 368,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,075.50 : 680,444.80 = 266,721 : x
  2. Step 2: Convert to fraction form
    493,075.50/680,444.80 = 266,721/x
  3. Step 3: Cross multiply
    493,075.50x = 680,444.80 × 266,721
  4. Step 4: Simplify right side
    493,075.50x = 181,488,917,500.80
  5. Step 5: Solve for x
    x = 181,488,917,500.80/493,075.50
  6. Step 6: Final answer
    x = 368,075.31

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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.