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Finding the Fourth Proportional to 347,965.30, 488,551.10 and 347,965.30

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Solution

The fourth proportional to 347,965.30, 488,551.10 and 347,965.30 is: 488,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,965.30 : 488,551.10 = 347,965.30 : x
  2. Step 2: Convert to fraction form
    347,965.30/488,551.10 = 347,965.30/x
  3. Step 3: Cross multiply
    347,965.30x = 488,551.10 × 347,965.30
  4. Step 4: Simplify right side
    347,965.30x = 169,998,830,076.83
  5. Step 5: Solve for x
    x = 169,998,830,076.83/347,965.30
  6. Step 6: Final answer
    x = 488,551.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.