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Finding the Fourth Proportional to 640,214.50, 883,513.84 and 353,753.14

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Solution

The fourth proportional to 640,214.50, 883,513.84 and 353,753.14 is: 488,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,214.50 : 883,513.84 = 353,753.14 : x
  2. Step 2: Convert to fraction form
    640,214.50/883,513.84 = 353,753.14/x
  3. Step 3: Cross multiply
    640,214.50x = 883,513.84 × 353,753.14
  4. Step 4: Simplify right side
    640,214.50x = 312,545,795,133.46
  5. Step 5: Solve for x
    x = 312,545,795,133.46/640,214.50
  6. Step 6: Final answer
    x = 488,189.19

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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.