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Finding the Fourth Proportional to 551,801.30, 827,693.74 and 152,433.23

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Solution

The fourth proportional to 551,801.30, 827,693.74 and 152,433.23 is: 228,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,801.30 : 827,693.74 = 152,433.23 : x
  2. Step 2: Convert to fraction form
    551,801.30/827,693.74 = 152,433.23/x
  3. Step 3: Cross multiply
    551,801.30x = 827,693.74 × 152,433.23
  4. Step 4: Simplify right side
    551,801.30x = 126,168,026,291.05
  5. Step 5: Solve for x
    x = 126,168,026,291.05/551,801.30
  6. Step 6: Final answer
    x = 228,647.57

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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.