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Finding the Fourth Proportional to 437,642.50, 603,946.66 and 236,438.50

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Solution

The fourth proportional to 437,642.50, 603,946.66 and 236,438.50 is: 326,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642.50 : 603,946.66 = 236,438.50 : x
  2. Step 2: Convert to fraction form
    437,642.50/603,946.66 = 236,438.50/x
  3. Step 3: Cross multiply
    437,642.50x = 603,946.66 × 236,438.50
  4. Step 4: Simplify right side
    437,642.50x = 142,796,242,370.41
  5. Step 5: Solve for x
    x = 142,796,242,370.41/437,642.50
  6. Step 6: Final answer
    x = 326,285.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.