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Finding the Fourth Proportional to 508,716.30, 763,420.05 and 284,076.30

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Solution

The fourth proportional to 508,716.30, 763,420.05 and 284,076.30 is: 426,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,716.30 : 763,420.05 = 284,076.30 : x
  2. Step 2: Convert to fraction form
    508,716.30/763,420.05 = 284,076.30/x
  3. Step 3: Cross multiply
    508,716.30x = 763,420.05 × 284,076.30
  4. Step 4: Simplify right side
    508,716.30x = 216,869,543,149.82
  5. Step 5: Solve for x
    x = 216,869,543,149.82/508,716.30
  6. Step 6: Final answer
    x = 426,307.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.