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Finding the Fourth Proportional to 503,978.85, 755,588.16 and 304,251.76

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Solution

The fourth proportional to 503,978.85, 755,588.16 and 304,251.76 is: 456,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,978.85 : 755,588.16 = 304,251.76 : x
  2. Step 2: Convert to fraction form
    503,978.85/755,588.16 = 304,251.76/x
  3. Step 3: Cross multiply
    503,978.85x = 755,588.16 × 304,251.76
  4. Step 4: Simplify right side
    503,978.85x = 229,889,027,515.16
  5. Step 5: Solve for x
    x = 229,889,027,515.16/503,978.85
  6. Step 6: Final answer
    x = 456,148.16

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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.