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Finding the Fourth Proportional to 397,797.85, 596,585.58 and 157,803.76

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Solution

The fourth proportional to 397,797.85, 596,585.58 and 157,803.76 is: 236,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,797.85 : 596,585.58 = 157,803.76 : x
  2. Step 2: Convert to fraction form
    397,797.85/596,585.58 = 157,803.76/x
  3. Step 3: Cross multiply
    397,797.85x = 596,585.58 × 157,803.76
  4. Step 4: Simplify right side
    397,797.85x = 94,143,447,685.78
  5. Step 5: Solve for x
    x = 94,143,447,685.78/397,797.85
  6. Step 6: Final answer
    x = 236,661.53

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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.