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Finding the Fourth Proportional to 498,461.80, 747,692.70 and 166,037.80

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Solution

The fourth proportional to 498,461.80, 747,692.70 and 166,037.80 is: 249,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,461.80 : 747,692.70 = 166,037.80 : x
  2. Step 2: Convert to fraction form
    498,461.80/747,692.70 = 166,037.80/x
  3. Step 3: Cross multiply
    498,461.80x = 747,692.70 × 166,037.80
  4. Step 4: Simplify right side
    498,461.80x = 124,145,250,984.06
  5. Step 5: Solve for x
    x = 124,145,250,984.06/498,461.80
  6. Step 6: Final answer
    x = 249,056.70

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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.