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Finding the Fourth Proportional to 405,002.30, 606,337.05 and 393,338.30

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Solution

The fourth proportional to 405,002.30, 606,337.05 and 393,338.30 is: 588,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,002.30 : 606,337.05 = 393,338.30 : x
  2. Step 2: Convert to fraction form
    405,002.30/606,337.05 = 393,338.30/x
  3. Step 3: Cross multiply
    405,002.30x = 606,337.05 × 393,338.30
  4. Step 4: Simplify right side
    405,002.30x = 238,495,584,474.02
  5. Step 5: Solve for x
    x = 238,495,584,474.02/405,002.30
  6. Step 6: Final answer
    x = 588,874.64

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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.