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Finding the Fourth Proportional to 383,560.26, 575,345.28 and 146,917.14

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Solution

The fourth proportional to 383,560.26, 575,345.28 and 146,917.14 is: 220,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,560.26 : 575,345.28 = 146,917.14 : x
  2. Step 2: Convert to fraction form
    383,560.26/575,345.28 = 146,917.14/x
  3. Step 3: Cross multiply
    383,560.26x = 575,345.28 × 146,917.14
  4. Step 4: Simplify right side
    383,560.26x = 84,528,083,050.10
  5. Step 5: Solve for x
    x = 84,528,083,050.10/383,560.26
  6. Step 6: Final answer
    x = 220,377.58

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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.