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Finding the Fourth Proportional to 472,321.74, 651,791.01 and 257,466

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Solution

The fourth proportional to 472,321.74, 651,791.01 and 257,466 is: 355,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,321.74 : 651,791.01 = 257,466 : x
  2. Step 2: Convert to fraction form
    472,321.74/651,791.01 = 257,466/x
  3. Step 3: Cross multiply
    472,321.74x = 651,791.01 × 257,466
  4. Step 4: Simplify right side
    472,321.74x = 167,814,024,180.66
  5. Step 5: Solve for x
    x = 167,814,024,180.66/472,321.74
  6. Step 6: Final answer
    x = 355,296.00

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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.