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Finding the Fourth Proportional to 484,082.55, 726,322.50 and 214,068.24

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Solution

The fourth proportional to 484,082.55, 726,322.50 and 214,068.24 is: 321,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,082.55 : 726,322.50 = 214,068.24 : x
  2. Step 2: Convert to fraction form
    484,082.55/726,322.50 = 214,068.24/x
  3. Step 3: Cross multiply
    484,082.55x = 726,322.50 × 214,068.24
  4. Step 4: Simplify right side
    484,082.55x = 155,482,579,247.40
  5. Step 5: Solve for x
    x = 155,482,579,247.40/484,082.55
  6. Step 6: Final answer
    x = 321,190.22

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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.