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Finding the Fourth Proportional to 468,405.63, 646,401.38 and 253,545.63

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Solution

The fourth proportional to 468,405.63, 646,401.38 and 253,545.63 is: 349,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,405.63 : 646,401.38 = 253,545.63 : x
  2. Step 2: Convert to fraction form
    468,405.63/646,401.38 = 253,545.63/x
  3. Step 3: Cross multiply
    468,405.63x = 646,401.38 × 253,545.63
  4. Step 4: Simplify right side
    468,405.63x = 163,892,243,857.24
  5. Step 5: Solve for x
    x = 163,892,243,857.24/468,405.63
  6. Step 6: Final answer
    x = 349,893.84

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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.