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Finding the Fourth Proportional to 614,098.88, 920,773.10 and 294,348.59

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Solution

The fourth proportional to 614,098.88, 920,773.10 and 294,348.59 is: 441,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,098.88 : 920,773.10 = 294,348.59 : x
  2. Step 2: Convert to fraction form
    614,098.88/920,773.10 = 294,348.59/x
  3. Step 3: Cross multiply
    614,098.88x = 920,773.10 × 294,348.59
  4. Step 4: Simplify right side
    614,098.88x = 271,028,257,619.32
  5. Step 5: Solve for x
    x = 271,028,257,619.32/614,098.88
  6. Step 6: Final answer
    x = 441,343.03

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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.