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Finding the Fourth Proportional to 519,881.46, 717,355.52 and 293,522.10

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Solution

The fourth proportional to 519,881.46, 717,355.52 and 293,522.10 is: 405,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,881.46 : 717,355.52 = 293,522.10 : x
  2. Step 2: Convert to fraction form
    519,881.46/717,355.52 = 293,522.10/x
  3. Step 3: Cross multiply
    519,881.46x = 717,355.52 × 293,522.10
  4. Step 4: Simplify right side
    519,881.46x = 210,559,698,676.99
  5. Step 5: Solve for x
    x = 210,559,698,676.99/519,881.46
  6. Step 6: Final answer
    x = 405,014.83

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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.