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Finding the Fourth Proportional to 549,488.64, 824,224.83 and 150,128.70

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Solution

The fourth proportional to 549,488.64, 824,224.83 and 150,128.70 is: 225,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,488.64 : 824,224.83 = 150,128.70 : x
  2. Step 2: Convert to fraction form
    549,488.64/824,224.83 = 150,128.70/x
  3. Step 3: Cross multiply
    549,488.64x = 824,224.83 × 150,128.70
  4. Step 4: Simplify right side
    549,488.64x = 123,739,802,235.62
  5. Step 5: Solve for x
    x = 123,739,802,235.62/549,488.64
  6. Step 6: Final answer
    x = 225,190.83

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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.