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Finding the Fourth Proportional to 362,533.20, 500,714.64 and 241,475.28

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Solution

The fourth proportional to 362,533.20, 500,714.64 and 241,475.28 is: 333,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,533.20 : 500,714.64 = 241,475.28 : x
  2. Step 2: Convert to fraction form
    362,533.20/500,714.64 = 241,475.28/x
  3. Step 3: Cross multiply
    362,533.20x = 500,714.64 × 241,475.28
  4. Step 4: Simplify right side
    362,533.20x = 120,910,207,894.10
  5. Step 5: Solve for x
    x = 120,910,207,894.10/362,533.20
  6. Step 6: Final answer
    x = 333,514.86

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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.