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Finding the Fourth Proportional to 486,054.70, 729,082.05 and 486,054.70

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Solution

The fourth proportional to 486,054.70, 729,082.05 and 486,054.70 is: 729,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,054.70 : 729,082.05 = 486,054.70 : x
  2. Step 2: Convert to fraction form
    486,054.70/729,082.05 = 486,054.70/x
  3. Step 3: Cross multiply
    486,054.70x = 729,082.05 × 486,054.70
  4. Step 4: Simplify right side
    486,054.70x = 354,373,757,088.14
  5. Step 5: Solve for x
    x = 354,373,757,088.14/486,054.70
  6. Step 6: Final answer
    x = 729,082.05

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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.