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Finding the Fourth Proportional to 513,155.84, 769,847.16 and 176,188.82

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Solution

The fourth proportional to 513,155.84, 769,847.16 and 176,188.82 is: 264,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,155.84 : 769,847.16 = 176,188.82 : x
  2. Step 2: Convert to fraction form
    513,155.84/769,847.16 = 176,188.82/x
  3. Step 3: Cross multiply
    513,155.84x = 769,847.16 × 176,188.82
  4. Step 4: Simplify right side
    513,155.84x = 135,638,462,700.75
  5. Step 5: Solve for x
    x = 135,638,462,700.75/513,155.84
  6. Step 6: Final answer
    x = 264,322.17

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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.