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Finding the Fourth Proportional to 468,650.88, 646,733.16 and 264,702.20

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Solution

The fourth proportional to 468,650.88, 646,733.16 and 264,702.20 is: 365,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,650.88 : 646,733.16 = 264,702.20 : x
  2. Step 2: Convert to fraction form
    468,650.88/646,733.16 = 264,702.20/x
  3. Step 3: Cross multiply
    468,650.88x = 646,733.16 × 264,702.20
  4. Step 4: Simplify right side
    468,650.88x = 171,191,687,031.29
  5. Step 5: Solve for x
    x = 171,191,687,031.29/468,650.88
  6. Step 6: Final answer
    x = 365,286.17

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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.