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Finding the Fourth Proportional to 347,654.80, 488,116.40 and 347,654.80

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Solution

The fourth proportional to 347,654.80, 488,116.40 and 347,654.80 is: 488,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,654.80 : 488,116.40 = 347,654.80 : x
  2. Step 2: Convert to fraction form
    347,654.80/488,116.40 = 347,654.80/x
  3. Step 3: Cross multiply
    347,654.80x = 488,116.40 × 347,654.80
  4. Step 4: Simplify right side
    347,654.80x = 169,696,009,418.72
  5. Step 5: Solve for x
    x = 169,696,009,418.72/347,654.80
  6. Step 6: Final answer
    x = 488,116.40

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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.