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Finding the Fourth Proportional to 654,843.94, 903,603.81 and 413,035.18

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Solution

The fourth proportional to 654,843.94, 903,603.81 and 413,035.18 is: 569,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,843.94 : 903,603.81 = 413,035.18 : x
  2. Step 2: Convert to fraction form
    654,843.94/903,603.81 = 413,035.18/x
  3. Step 3: Cross multiply
    654,843.94x = 903,603.81 × 413,035.18
  4. Step 4: Simplify right side
    654,843.94x = 373,220,162,312.04
  5. Step 5: Solve for x
    x = 373,220,162,312.04/654,843.94
  6. Step 6: Final answer
    x = 569,937.57

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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.