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Finding the Fourth Proportional to 564,846.60, 847,002.60 and 328,261.80

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Solution

The fourth proportional to 564,846.60, 847,002.60 and 328,261.80 is: 492,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,846.60 : 847,002.60 = 328,261.80 : x
  2. Step 2: Convert to fraction form
    564,846.60/847,002.60 = 328,261.80/x
  3. Step 3: Cross multiply
    564,846.60x = 847,002.60 × 328,261.80
  4. Step 4: Simplify right side
    564,846.60x = 278,038,598,080.68
  5. Step 5: Solve for x
    x = 278,038,598,080.68/564,846.60
  6. Step 6: Final answer
    x = 492,237.36

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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.