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Finding the Fourth Proportional to 472,956.90, 709,684.46 and 273,417.42

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Solution

The fourth proportional to 472,956.90, 709,684.46 and 273,417.42 is: 410,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,956.90 : 709,684.46 = 273,417.42 : x
  2. Step 2: Convert to fraction form
    472,956.90/709,684.46 = 273,417.42/x
  3. Step 3: Cross multiply
    472,956.90x = 709,684.46 × 273,417.42
  4. Step 4: Simplify right side
    472,956.90x = 194,040,094,006.36
  5. Step 5: Solve for x
    x = 194,040,094,006.36/472,956.90
  6. Step 6: Final answer
    x = 410,270.14

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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.