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Finding the Fourth Proportional to 407,658.36, 611,595.98 and 141,418.44

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Solution

The fourth proportional to 407,658.36, 611,595.98 and 141,418.44 is: 212,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,658.36 : 611,595.98 = 141,418.44 : x
  2. Step 2: Convert to fraction form
    407,658.36/611,595.98 = 141,418.44/x
  3. Step 3: Cross multiply
    407,658.36x = 611,595.98 × 141,418.44
  4. Step 4: Simplify right side
    407,658.36x = 86,490,945,636.80
  5. Step 5: Solve for x
    x = 86,490,945,636.80/407,658.36
  6. Step 6: Final answer
    x = 212,165.27

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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.