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Finding the Fourth Proportional to 472,551.98, 652,121.85 and 257,686.52

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Solution

The fourth proportional to 472,551.98, 652,121.85 and 257,686.52 is: 355,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,551.98 : 652,121.85 = 257,686.52 : x
  2. Step 2: Convert to fraction form
    472,551.98/652,121.85 = 257,686.52/x
  3. Step 3: Cross multiply
    472,551.98x = 652,121.85 × 257,686.52
  4. Step 4: Simplify right side
    472,551.98x = 168,043,010,142.46
  5. Step 5: Solve for x
    x = 168,043,010,142.46/472,551.98
  6. Step 6: Final answer
    x = 355,607.46

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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.