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Finding the Fourth Proportional to 517,405.98, 776,109.17 and 232,764.04

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Solution

The fourth proportional to 517,405.98, 776,109.17 and 232,764.04 is: 349,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,405.98 : 776,109.17 = 232,764.04 : x
  2. Step 2: Convert to fraction form
    517,405.98/776,109.17 = 232,764.04/x
  3. Step 3: Cross multiply
    517,405.98x = 776,109.17 × 232,764.04
  4. Step 4: Simplify right side
    517,405.98x = 180,650,305,890.25
  5. Step 5: Solve for x
    x = 180,650,305,890.25/517,405.98
  6. Step 6: Final answer
    x = 349,146.15

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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.