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Finding the Fourth Proportional to 476,534.92, 714,592.44 and 223,887.22

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Solution

The fourth proportional to 476,534.92, 714,592.44 and 223,887.22 is: 335,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,534.92 : 714,592.44 = 223,887.22 : x
  2. Step 2: Convert to fraction form
    476,534.92/714,592.44 = 223,887.22/x
  3. Step 3: Cross multiply
    476,534.92x = 714,592.44 × 223,887.22
  4. Step 4: Simplify right side
    476,534.92x = 159,988,114,824.62
  5. Step 5: Solve for x
    x = 159,988,114,824.62/476,534.92
  6. Step 6: Final answer
    x = 335,732.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.