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Finding the Fourth Proportional to 397,357.39, 596,036.21 and 116,874.64

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Solution

The fourth proportional to 397,357.39, 596,036.21 and 116,874.64 is: 175,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,357.39 : 596,036.21 = 116,874.64 : x
  2. Step 2: Convert to fraction form
    397,357.39/596,036.21 = 116,874.64/x
  3. Step 3: Cross multiply
    397,357.39x = 596,036.21 × 116,874.64
  4. Step 4: Simplify right side
    397,357.39x = 69,661,518,376.43
  5. Step 5: Solve for x
    x = 69,661,518,376.43/397,357.39
  6. Step 6: Final answer
    x = 175,312.00

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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.