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Finding the Fourth Proportional to 551,341.40, 827,012.10 and 235,830.20

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Solution

The fourth proportional to 551,341.40, 827,012.10 and 235,830.20 is: 353,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,341.40 : 827,012.10 = 235,830.20 : x
  2. Step 2: Convert to fraction form
    551,341.40/827,012.10 = 235,830.20/x
  3. Step 3: Cross multiply
    551,341.40x = 827,012.10 × 235,830.20
  4. Step 4: Simplify right side
    551,341.40x = 195,034,428,945.42
  5. Step 5: Solve for x
    x = 195,034,428,945.42/551,341.40
  6. Step 6: Final answer
    x = 353,745.30

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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.