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Finding the Fourth Proportional to 521,374.86, 782,126.28 and 184,345.74

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Solution

The fourth proportional to 521,374.86, 782,126.28 and 184,345.74 is: 276,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,374.86 : 782,126.28 = 184,345.74 : x
  2. Step 2: Convert to fraction form
    521,374.86/782,126.28 = 184,345.74/x
  3. Step 3: Cross multiply
    521,374.86x = 782,126.28 × 184,345.74
  4. Step 4: Simplify right side
    521,374.86x = 144,181,647,860.05
  5. Step 5: Solve for x
    x = 144,181,647,860.05/521,374.86
  6. Step 6: Final answer
    x = 276,541.24

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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.