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Finding the Fourth Proportional to 484,734.16, 726,763.92 and 214,715.72

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Solution

The fourth proportional to 484,734.16, 726,763.92 and 214,715.72 is: 321,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,734.16 : 726,763.92 = 214,715.72 : x
  2. Step 2: Convert to fraction form
    484,734.16/726,763.92 = 214,715.72/x
  3. Step 3: Cross multiply
    484,734.16x = 726,763.92 × 214,715.72
  4. Step 4: Simplify right side
    484,734.16x = 156,047,638,352.82
  5. Step 5: Solve for x
    x = 156,047,638,352.82/484,734.16
  6. Step 6: Final answer
    x = 321,924.16

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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.