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Finding the Fourth Proportional to 398,196, 597,308.94 and 110,036.88

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Solution

The fourth proportional to 398,196, 597,308.94 and 110,036.88 is: 165,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,196 : 597,308.94 = 110,036.88 : x
  2. Step 2: Convert to fraction form
    398,196/597,308.94 = 110,036.88/x
  3. Step 3: Cross multiply
    398,196x = 597,308.94 × 110,036.88
  4. Step 4: Simplify right side
    398,196x = 65,726,012,153.71
  5. Step 5: Solve for x
    x = 65,726,012,153.71/398,196
  6. Step 6: Final answer
    x = 165,059.45

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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.