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Finding the Fourth Proportional to 397,702.63, 596,555.18 and 98,183.24

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Solution

The fourth proportional to 397,702.63, 596,555.18 and 98,183.24 is: 147,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,702.63 : 596,555.18 = 98,183.24 : x
  2. Step 2: Convert to fraction form
    397,702.63/596,555.18 = 98,183.24/x
  3. Step 3: Cross multiply
    397,702.63x = 596,555.18 × 98,183.24
  4. Step 4: Simplify right side
    397,702.63x = 58,571,720,656.64
  5. Step 5: Solve for x
    x = 58,571,720,656.64/397,702.63
  6. Step 6: Final answer
    x = 147,275.17

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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.