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Finding the Fourth Proportional to 472,659.84, 652,233.60 and 257,787.36

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Solution

The fourth proportional to 472,659.84, 652,233.60 and 257,787.36 is: 355,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,659.84 : 652,233.60 = 257,787.36 : x
  2. Step 2: Convert to fraction form
    472,659.84/652,233.60 = 257,787.36/x
  3. Step 3: Cross multiply
    472,659.84x = 652,233.60 × 257,787.36
  4. Step 4: Simplify right side
    472,659.84x = 168,137,577,847.30
  5. Step 5: Solve for x
    x = 168,137,577,847.30/472,659.84
  6. Step 6: Final answer
    x = 355,726.39

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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.