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Finding the Fourth Proportional to 365,065.06, 546,265.41 and 215,377.06

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Solution

The fourth proportional to 365,065.06, 546,265.41 and 215,377.06 is: 322,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,065.06 : 546,265.41 = 215,377.06 : x
  2. Step 2: Convert to fraction form
    365,065.06/546,265.41 = 215,377.06/x
  3. Step 3: Cross multiply
    365,065.06x = 546,265.41 × 215,377.06
  4. Step 4: Simplify right side
    365,065.06x = 117,653,037,985.50
  5. Step 5: Solve for x
    x = 117,653,037,985.50/365,065.06
  6. Step 6: Final answer
    x = 322,279.65

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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.