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Finding the Fourth Proportional to 397,585.64, 596,375.66 and 160,924.91

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Solution

The fourth proportional to 397,585.64, 596,375.66 and 160,924.91 is: 241,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,585.64 : 596,375.66 = 160,924.91 : x
  2. Step 2: Convert to fraction form
    397,585.64/596,375.66 = 160,924.91/x
  3. Step 3: Cross multiply
    397,585.64x = 596,375.66 × 160,924.91
  4. Step 4: Simplify right side
    397,585.64x = 95,971,695,625.19
  5. Step 5: Solve for x
    x = 95,971,695,625.19/397,585.64
  6. Step 6: Final answer
    x = 241,386.23

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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.