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Finding the Fourth Proportional to 398,284.66, 597,543.63 and 117,809.38

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Solution

The fourth proportional to 398,284.66, 597,543.63 and 117,809.38 is: 176,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,284.66 : 597,543.63 = 117,809.38 : x
  2. Step 2: Convert to fraction form
    398,284.66/597,543.63 = 117,809.38/x
  3. Step 3: Cross multiply
    398,284.66x = 597,543.63 × 117,809.38
  4. Step 4: Simplify right side
    398,284.66x = 70,396,244,573.25
  5. Step 5: Solve for x
    x = 70,396,244,573.25/398,284.66
  6. Step 6: Final answer
    x = 176,748.57

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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.