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Finding the Fourth Proportional to 467,377, 644,980.26 and 266,191.72

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Solution

The fourth proportional to 467,377, 644,980.26 and 266,191.72 is: 367,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,377 : 644,980.26 = 266,191.72 : x
  2. Step 2: Convert to fraction form
    467,377/644,980.26 = 266,191.72/x
  3. Step 3: Cross multiply
    467,377x = 644,980.26 × 266,191.72
  4. Step 4: Simplify right side
    467,377x = 171,688,404,775.45
  5. Step 5: Solve for x
    x = 171,688,404,775.45/467,377
  6. Step 6: Final answer
    x = 367,344.57

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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.