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Finding the Fourth Proportional to 520,098.05, 717,737.97 and 290,659.17

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Solution

The fourth proportional to 520,098.05, 717,737.97 and 290,659.17 is: 401,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.05 : 717,737.97 = 290,659.17 : x
  2. Step 2: Convert to fraction form
    520,098.05/717,737.97 = 290,659.17/x
  3. Step 3: Cross multiply
    520,098.05x = 717,737.97 × 290,659.17
  4. Step 4: Simplify right side
    520,098.05x = 208,617,120,746.94
  5. Step 5: Solve for x
    x = 208,617,120,746.94/520,098.05
  6. Step 6: Final answer
    x = 401,111.14

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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.