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Finding the Fourth Proportional to 499,633.13, 749,456.07 and 144,647.49

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Solution

The fourth proportional to 499,633.13, 749,456.07 and 144,647.49 is: 216,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,633.13 : 749,456.07 = 144,647.49 : x
  2. Step 2: Convert to fraction form
    499,633.13/749,456.07 = 144,647.49/x
  3. Step 3: Cross multiply
    499,633.13x = 749,456.07 × 144,647.49
  4. Step 4: Simplify right side
    499,633.13x = 108,406,936,037.88
  5. Step 5: Solve for x
    x = 108,406,936,037.88/499,633.13
  6. Step 6: Final answer
    x = 216,973.08

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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.