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Finding the Fourth Proportional to 412,696.48, 568,070.40 and 361,588.72

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Solution

The fourth proportional to 412,696.48, 568,070.40 and 361,588.72 is: 497,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,696.48 : 568,070.40 = 361,588.72 : x
  2. Step 2: Convert to fraction form
    412,696.48/568,070.40 = 361,588.72/x
  3. Step 3: Cross multiply
    412,696.48x = 568,070.40 × 361,588.72
  4. Step 4: Simplify right side
    412,696.48x = 205,407,848,805.89
  5. Step 5: Solve for x
    x = 205,407,848,805.89/412,696.48
  6. Step 6: Final answer
    x = 497,721.35

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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.