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Finding the Fourth Proportional to 353,713.42, 530,215.55 and 164,306.87

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Solution

The fourth proportional to 353,713.42, 530,215.55 and 164,306.87 is: 246,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,713.42 : 530,215.55 = 164,306.87 : x
  2. Step 2: Convert to fraction form
    353,713.42/530,215.55 = 164,306.87/x
  3. Step 3: Cross multiply
    353,713.42x = 530,215.55 × 164,306.87
  4. Step 4: Simplify right side
    353,713.42x = 87,118,057,445.83
  5. Step 5: Solve for x
    x = 87,118,057,445.83/353,713.42
  6. Step 6: Final answer
    x = 246,295.60

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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.