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Finding the Fourth Proportional to 459,647.70, 633,790.77 and 323,638.14

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Solution

The fourth proportional to 459,647.70, 633,790.77 and 323,638.14 is: 446,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,647.70 : 633,790.77 = 323,638.14 : x
  2. Step 2: Convert to fraction form
    459,647.70/633,790.77 = 323,638.14/x
  3. Step 3: Cross multiply
    459,647.70x = 633,790.77 × 323,638.14
  4. Step 4: Simplify right side
    459,647.70x = 205,118,865,951.97
  5. Step 5: Solve for x
    x = 205,118,865,951.97/459,647.70
  6. Step 6: Final answer
    x = 446,252.35

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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.