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Finding the Fourth Proportional to 519,477.76, 779,294.54 and 182,459

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Solution

The fourth proportional to 519,477.76, 779,294.54 and 182,459 is: 273,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,477.76 : 779,294.54 = 182,459 : x
  2. Step 2: Convert to fraction form
    519,477.76/779,294.54 = 182,459/x
  3. Step 3: Cross multiply
    519,477.76x = 779,294.54 × 182,459
  4. Step 4: Simplify right side
    519,477.76x = 142,189,302,473.86
  5. Step 5: Solve for x
    x = 142,189,302,473.86/519,477.76
  6. Step 6: Final answer
    x = 273,715.86

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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.