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Finding the Fourth Proportional to 410,341.98, 565,825.59 and 266,835.90

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Solution

The fourth proportional to 410,341.98, 565,825.59 and 266,835.90 is: 367,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,341.98 : 565,825.59 = 266,835.90 : x
  2. Step 2: Convert to fraction form
    410,341.98/565,825.59 = 266,835.90/x
  3. Step 3: Cross multiply
    410,341.98x = 565,825.59 × 266,835.90
  4. Step 4: Simplify right side
    410,341.98x = 150,982,580,550.68
  5. Step 5: Solve for x
    x = 150,982,580,550.68/410,341.98
  6. Step 6: Final answer
    x = 367,943.30

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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.