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Finding the Fourth Proportional to 589,584.44, 813,648.30 and 334,978.76

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Solution

The fourth proportional to 589,584.44, 813,648.30 and 334,978.76 is: 462,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,584.44 : 813,648.30 = 334,978.76 : x
  2. Step 2: Convert to fraction form
    589,584.44/813,648.30 = 334,978.76/x
  3. Step 3: Cross multiply
    589,584.44x = 813,648.30 × 334,978.76
  4. Step 4: Simplify right side
    589,584.44x = 272,554,898,610.11
  5. Step 5: Solve for x
    x = 272,554,898,610.11/589,584.44
  6. Step 6: Final answer
    x = 462,283.06

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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.