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Finding the Fourth Proportional to 507,129.45, 699,885.59 and 280,774.95

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Solution

The fourth proportional to 507,129.45, 699,885.59 and 280,774.95 is: 387,495.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,129.45 : 699,885.59 = 280,774.95 : x
  2. Step 2: Convert to fraction form
    507,129.45/699,885.59 = 280,774.95/x
  3. Step 3: Cross multiply
    507,129.45x = 699,885.59 × 280,774.95
  4. Step 4: Simplify right side
    507,129.45x = 196,510,341,537.97
  5. Step 5: Solve for x
    x = 196,510,341,537.97/507,129.45
  6. Step 6: Final answer
    x = 387,495.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.