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Finding the Fourth Proportional to 397,184.79, 595,781.34 and 157,357.06

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Solution

The fourth proportional to 397,184.79, 595,781.34 and 157,357.06 is: 236,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,184.79 : 595,781.34 = 157,357.06 : x
  2. Step 2: Convert to fraction form
    397,184.79/595,781.34 = 157,357.06/x
  3. Step 3: Cross multiply
    397,184.79x = 595,781.34 × 157,357.06
  4. Step 4: Simplify right side
    397,184.79x = 93,750,400,065.26
  5. Step 5: Solve for x
    x = 93,750,400,065.26/397,184.79
  6. Step 6: Final answer
    x = 236,037.24

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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.