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Finding the Fourth Proportional to 472,564.56, 652,263.12 and 268,734.60

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Solution

The fourth proportional to 472,564.56, 652,263.12 and 268,734.60 is: 370,924.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,564.56 : 652,263.12 = 268,734.60 : x
  2. Step 2: Convert to fraction form
    472,564.56/652,263.12 = 268,734.60/x
  3. Step 3: Cross multiply
    472,564.56x = 652,263.12 × 268,734.60
  4. Step 4: Simplify right side
    472,564.56x = 175,285,668,647.95
  5. Step 5: Solve for x
    x = 175,285,668,647.95/472,564.56
  6. Step 6: Final answer
    x = 370,924.28

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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.