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Finding the Fourth Proportional to 534,849.86, 800,466.42 and 520,456.76

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Solution

The fourth proportional to 534,849.86, 800,466.42 and 520,456.76 is: 778,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,849.86 : 800,466.42 = 520,456.76 : x
  2. Step 2: Convert to fraction form
    534,849.86/800,466.42 = 520,456.76/x
  3. Step 3: Cross multiply
    534,849.86x = 800,466.42 × 520,456.76
  4. Step 4: Simplify right side
    534,849.86x = 416,608,159,442.00
  5. Step 5: Solve for x
    x = 416,608,159,442.00/534,849.86
  6. Step 6: Final answer
    x = 778,925.43

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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.