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Finding the Fourth Proportional to 854,646.32, 1,179,405.96 and 472,658.96

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Solution

The fourth proportional to 854,646.32, 1,179,405.96 and 472,658.96 is: 652,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,646.32 : 1,179,405.96 = 472,658.96 : x
  2. Step 2: Convert to fraction form
    854,646.32/1,179,405.96 = 472,658.96/x
  3. Step 3: Cross multiply
    854,646.32x = 1,179,405.96 × 472,658.96
  4. Step 4: Simplify right side
    854,646.32x = 557,456,794,471.40
  5. Step 5: Solve for x
    x = 557,456,794,471.40/854,646.32
  6. Step 6: Final answer
    x = 652,266.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.