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Finding the Fourth Proportional to 217,364.34, 326,046.68 and 175,045.98

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Solution

The fourth proportional to 217,364.34, 326,046.68 and 175,045.98 is: 262,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,364.34 : 326,046.68 = 175,045.98 : x
  2. Step 2: Convert to fraction form
    217,364.34/326,046.68 = 175,045.98/x
  3. Step 3: Cross multiply
    217,364.34x = 326,046.68 × 175,045.98
  4. Step 4: Simplify right side
    217,364.34x = 57,073,160,626.35
  5. Step 5: Solve for x
    x = 57,073,160,626.35/217,364.34
  6. Step 6: Final answer
    x = 262,569.11

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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.