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Finding the Fourth Proportional to 551,407.72, 827,222.28 and 251,807.86

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Solution

The fourth proportional to 551,407.72, 827,222.28 and 251,807.86 is: 377,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,407.72 : 827,222.28 = 251,807.86 : x
  2. Step 2: Convert to fraction form
    551,407.72/827,222.28 = 251,807.86/x
  3. Step 3: Cross multiply
    551,407.72x = 827,222.28 × 251,807.86
  4. Step 4: Simplify right side
    551,407.72x = 208,301,072,071.12
  5. Step 5: Solve for x
    x = 208,301,072,071.12/551,407.72
  6. Step 6: Final answer
    x = 377,762.34

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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.