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Finding the Fourth Proportional to 451,862.98, 677,796.80 and 152,346.15

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Solution

The fourth proportional to 451,862.98, 677,796.80 and 152,346.15 is: 228,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,862.98 : 677,796.80 = 152,346.15 : x
  2. Step 2: Convert to fraction form
    451,862.98/677,796.80 = 152,346.15/x
  3. Step 3: Cross multiply
    451,862.98x = 677,796.80 × 152,346.15
  4. Step 4: Simplify right side
    451,862.98x = 103,259,732,200.59
  5. Step 5: Solve for x
    x = 103,259,732,200.59/451,862.98
  6. Step 6: Final answer
    x = 228,520.01

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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.