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Finding the Fourth Proportional to 397,866.05, 596,580.94 and 157,736.69

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Solution

The fourth proportional to 397,866.05, 596,580.94 and 157,736.69 is: 236,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,866.05 : 596,580.94 = 157,736.69 : x
  2. Step 2: Convert to fraction form
    397,866.05/596,580.94 = 157,736.69/x
  3. Step 3: Cross multiply
    397,866.05x = 596,580.94 × 157,736.69
  4. Step 4: Simplify right side
    397,866.05x = 94,102,702,792.69
  5. Step 5: Solve for x
    x = 94,102,702,792.69/397,866.05
  6. Step 6: Final answer
    x = 236,518.55

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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.