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Finding the Fourth Proportional to 476,323.70, 713,902.35 and 209,801.30

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Solution

The fourth proportional to 476,323.70, 713,902.35 and 209,801.30 is: 314,445.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,323.70 : 713,902.35 = 209,801.30 : x
  2. Step 2: Convert to fraction form
    476,323.70/713,902.35 = 209,801.30/x
  3. Step 3: Cross multiply
    476,323.70x = 713,902.35 × 209,801.30
  4. Step 4: Simplify right side
    476,323.70x = 149,777,641,103.06
  5. Step 5: Solve for x
    x = 149,777,641,103.06/476,323.70
  6. Step 6: Final answer
    x = 314,445.07

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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.