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Finding the Fourth Proportional to 517,437.05, 776,159.01 and 180,476.44

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Solution

The fourth proportional to 517,437.05, 776,159.01 and 180,476.44 is: 270,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,437.05 : 776,159.01 = 180,476.44 : x
  2. Step 2: Convert to fraction form
    517,437.05/776,159.01 = 180,476.44/x
  3. Step 3: Cross multiply
    517,437.05x = 776,159.01 × 180,476.44
  4. Step 4: Simplify right side
    517,437.05x = 140,078,413,058.33
  5. Step 5: Solve for x
    x = 140,078,413,058.33/517,437.05
  6. Step 6: Final answer
    x = 270,715.86

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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.