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Finding the Fourth Proportional to 415,887.64, 623,397.28 and 301,759.72

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Solution

The fourth proportional to 415,887.64, 623,397.28 and 301,759.72 is: 452,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,887.64 : 623,397.28 = 301,759.72 : x
  2. Step 2: Convert to fraction form
    415,887.64/623,397.28 = 301,759.72/x
  3. Step 3: Cross multiply
    415,887.64x = 623,397.28 × 301,759.72
  4. Step 4: Simplify right side
    415,887.64x = 188,116,188,661.56
  5. Step 5: Solve for x
    x = 188,116,188,661.56/415,887.64
  6. Step 6: Final answer
    x = 452,324.55

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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.