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Finding the Fourth Proportional to 519,420.71, 779,032.64 and 182,382.14

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Solution

The fourth proportional to 519,420.71, 779,032.64 and 182,382.14 is: 273,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,420.71 : 779,032.64 = 182,382.14 : x
  2. Step 2: Convert to fraction form
    519,420.71/779,032.64 = 182,382.14/x
  3. Step 3: Cross multiply
    519,420.71x = 779,032.64 × 182,382.14
  4. Step 4: Simplify right side
    519,420.71x = 142,081,642,416.59
  5. Step 5: Solve for x
    x = 142,081,642,416.59/519,420.71
  6. Step 6: Final answer
    x = 273,538.65

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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.