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Finding the Fourth Proportional to 598,613.36, 898,069.52 and 177,889.28

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Solution

The fourth proportional to 598,613.36, 898,069.52 and 177,889.28 is: 266,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,613.36 : 898,069.52 = 177,889.28 : x
  2. Step 2: Convert to fraction form
    598,613.36/898,069.52 = 177,889.28/x
  3. Step 3: Cross multiply
    598,613.36x = 898,069.52 × 177,889.28
  4. Step 4: Simplify right side
    598,613.36x = 159,756,940,302.75
  5. Step 5: Solve for x
    x = 159,756,940,302.75/598,613.36
  6. Step 6: Final answer
    x = 266,878.34

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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.