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Finding the Fourth Proportional to 289,533.57, 399,613.14 and 174,831.09

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Solution

The fourth proportional to 289,533.57, 399,613.14 and 174,831.09 is: 241,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,533.57 : 399,613.14 = 174,831.09 : x
  2. Step 2: Convert to fraction form
    289,533.57/399,613.14 = 174,831.09/x
  3. Step 3: Cross multiply
    289,533.57x = 399,613.14 × 174,831.09
  4. Step 4: Simplify right side
    289,533.57x = 69,864,800,844.52
  5. Step 5: Solve for x
    x = 69,864,800,844.52/289,533.57
  6. Step 6: Final answer
    x = 241,301.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.