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Finding the Fourth Proportional to 463,643.34, 639,843.63 and 259,702.98

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Solution

The fourth proportional to 463,643.34, 639,843.63 and 259,702.98 is: 358,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,643.34 : 639,843.63 = 259,702.98 : x
  2. Step 2: Convert to fraction form
    463,643.34/639,843.63 = 259,702.98/x
  3. Step 3: Cross multiply
    463,643.34x = 639,843.63 × 259,702.98
  4. Step 4: Simplify right side
    463,643.34x = 166,169,297,445.02
  5. Step 5: Solve for x
    x = 166,169,297,445.02/463,643.34
  6. Step 6: Final answer
    x = 358,398.97

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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.