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Finding the Fourth Proportional to 405,747.40, 607,238.70 and 405,747.40

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Solution

The fourth proportional to 405,747.40, 607,238.70 and 405,747.40 is: 607,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,747.40 : 607,238.70 = 405,747.40 : x
  2. Step 2: Convert to fraction form
    405,747.40/607,238.70 = 405,747.40/x
  3. Step 3: Cross multiply
    405,747.40x = 607,238.70 × 405,747.40
  4. Step 4: Simplify right side
    405,747.40x = 246,385,523,704.38
  5. Step 5: Solve for x
    x = 246,385,523,704.38/405,747.40
  6. Step 6: Final answer
    x = 607,238.70

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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.