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Finding the Fourth Proportional to 551,649.96, 827,458.32 and 152,315.04

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Solution

The fourth proportional to 551,649.96, 827,458.32 and 152,315.04 is: 228,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,649.96 : 827,458.32 = 152,315.04 : x
  2. Step 2: Convert to fraction form
    551,649.96/827,458.32 = 152,315.04/x
  3. Step 3: Cross multiply
    551,649.96x = 827,458.32 × 152,315.04
  4. Step 4: Simplify right side
    551,649.96x = 126,034,347,109.13
  5. Step 5: Solve for x
    x = 126,034,347,109.13/551,649.96
  6. Step 6: Final answer
    x = 228,467.97

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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.