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Finding the Fourth Proportional to 465,626.91, 697,808.82 and 212,593.74

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Solution

The fourth proportional to 465,626.91, 697,808.82 and 212,593.74 is: 318,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,626.91 : 697,808.82 = 212,593.74 : x
  2. Step 2: Convert to fraction form
    465,626.91/697,808.82 = 212,593.74/x
  3. Step 3: Cross multiply
    465,626.91x = 697,808.82 × 212,593.74
  4. Step 4: Simplify right side
    465,626.91x = 148,349,786,848.79
  5. Step 5: Solve for x
    x = 148,349,786,848.79/465,626.91
  6. Step 6: Final answer
    x = 318,602.26

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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.