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Finding the Fourth Proportional to 451,694.80, 677,542.20 and 152,075.80

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Solution

The fourth proportional to 451,694.80, 677,542.20 and 152,075.80 is: 228,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,694.80 : 677,542.20 = 152,075.80 : x
  2. Step 2: Convert to fraction form
    451,694.80/677,542.20 = 152,075.80/x
  3. Step 3: Cross multiply
    451,694.80x = 677,542.20 × 152,075.80
  4. Step 4: Simplify right side
    451,694.80x = 103,037,772,098.76
  5. Step 5: Solve for x
    x = 103,037,772,098.76/451,694.80
  6. Step 6: Final answer
    x = 228,113.70

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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.