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Finding the Fourth Proportional to 472,757.90, 709,268.07 and 262,543.46

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Solution

The fourth proportional to 472,757.90, 709,268.07 and 262,543.46 is: 393,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,757.90 : 709,268.07 = 262,543.46 : x
  2. Step 2: Convert to fraction form
    472,757.90/709,268.07 = 262,543.46/x
  3. Step 3: Cross multiply
    472,757.90x = 709,268.07 × 262,543.46
  4. Step 4: Simplify right side
    472,757.90x = 186,213,689,618.98
  5. Step 5: Solve for x
    x = 186,213,689,618.98/472,757.90
  6. Step 6: Final answer
    x = 393,888.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.