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Finding the Fourth Proportional to 820,654.60, 1,230,809.10 and 347,355.40

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Solution

The fourth proportional to 820,654.60, 1,230,809.10 and 347,355.40 is: 520,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,654.60 : 1,230,809.10 = 347,355.40 : x
  2. Step 2: Convert to fraction form
    820,654.60/1,230,809.10 = 347,355.40/x
  3. Step 3: Cross multiply
    820,654.60x = 1,230,809.10 × 347,355.40
  4. Step 4: Simplify right side
    820,654.60x = 427,528,187,254.14
  5. Step 5: Solve for x
    x = 427,528,187,254.14/820,654.60
  6. Step 6: Final answer
    x = 520,959.96

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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.