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Finding the Fourth Proportional to 476,106.12, 714,345.12 and 209,679.42

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Solution

The fourth proportional to 476,106.12, 714,345.12 and 209,679.42 is: 314,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,106.12 : 714,345.12 = 209,679.42 : x
  2. Step 2: Convert to fraction form
    476,106.12/714,345.12 = 209,679.42/x
  3. Step 3: Cross multiply
    476,106.12x = 714,345.12 × 209,679.42
  4. Step 4: Simplify right side
    476,106.12x = 149,783,470,441.43
  5. Step 5: Solve for x
    x = 149,783,470,441.43/476,106.12
  6. Step 6: Final answer
    x = 314,601.02

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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.