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Finding the Fourth Proportional to 519,763.14, 779,672.61 and 164,804.84

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Solution

The fourth proportional to 519,763.14, 779,672.61 and 164,804.84 is: 247,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,763.14 : 779,672.61 = 164,804.84 : x
  2. Step 2: Convert to fraction form
    519,763.14/779,672.61 = 164,804.84/x
  3. Step 3: Cross multiply
    519,763.14x = 779,672.61 × 164,804.84
  4. Step 4: Simplify right side
    519,763.14x = 128,493,815,845.07
  5. Step 5: Solve for x
    x = 128,493,815,845.07/519,763.14
  6. Step 6: Final answer
    x = 247,216.10

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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.