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Finding the Fourth Proportional to 567,051.75, 782,522.24 and 308,931.78

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Solution

The fourth proportional to 567,051.75, 782,522.24 and 308,931.78 is: 426,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,051.75 : 782,522.24 = 308,931.78 : x
  2. Step 2: Convert to fraction form
    567,051.75/782,522.24 = 308,931.78/x
  3. Step 3: Cross multiply
    567,051.75x = 782,522.24 × 308,931.78
  4. Step 4: Simplify right side
    567,051.75x = 241,745,988,492.79
  5. Step 5: Solve for x
    x = 241,745,988,492.79/567,051.75
  6. Step 6: Final answer
    x = 426,320.86

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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.