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Finding the Fourth Proportional to 451,646.80, 677,470.20 and 152,027.80

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Solution

The fourth proportional to 451,646.80, 677,470.20 and 152,027.80 is: 228,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,646.80 : 677,470.20 = 152,027.80 : x
  2. Step 2: Convert to fraction form
    451,646.80/677,470.20 = 152,027.80/x
  3. Step 3: Cross multiply
    451,646.80x = 677,470.20 × 152,027.80
  4. Step 4: Simplify right side
    451,646.80x = 102,994,304,071.56
  5. Step 5: Solve for x
    x = 102,994,304,071.56/451,646.80
  6. Step 6: Final answer
    x = 228,041.70

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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.