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Finding the Fourth Proportional to 508,026.58, 761,942.70 and 255,237.02

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Solution

The fourth proportional to 508,026.58, 761,942.70 and 255,237.02 is: 382,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,026.58 : 761,942.70 = 255,237.02 : x
  2. Step 2: Convert to fraction form
    508,026.58/761,942.70 = 255,237.02/x
  3. Step 3: Cross multiply
    508,026.58x = 761,942.70 × 255,237.02
  4. Step 4: Simplify right side
    508,026.58x = 194,475,984,158.75
  5. Step 5: Solve for x
    x = 194,475,984,158.75/508,026.58
  6. Step 6: Final answer
    x = 382,806.71

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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.