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Finding the Fourth Proportional to 519,345.14, 777,499.22 and 469,539.86

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Solution

The fourth proportional to 519,345.14, 777,499.22 and 469,539.86 is: 702,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,345.14 : 777,499.22 = 469,539.86 : x
  2. Step 2: Convert to fraction form
    519,345.14/777,499.22 = 469,539.86/x
  3. Step 3: Cross multiply
    519,345.14x = 777,499.22 × 469,539.86
  4. Step 4: Simplify right side
    519,345.14x = 365,066,872,195.26
  5. Step 5: Solve for x
    x = 365,066,872,195.26/519,345.14
  6. Step 6: Final answer
    x = 702,936.92

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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.