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Finding the Fourth Proportional to 289,174.91, 398,935.73 and 174,389.76

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Solution

The fourth proportional to 289,174.91, 398,935.73 and 174,389.76 is: 240,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,174.91 : 398,935.73 = 174,389.76 : x
  2. Step 2: Convert to fraction form
    289,174.91/398,935.73 = 174,389.76/x
  3. Step 3: Cross multiply
    289,174.91x = 398,935.73 × 174,389.76
  4. Step 4: Simplify right side
    289,174.91x = 69,570,306,646.10
  5. Step 5: Solve for x
    x = 69,570,306,646.10/289,174.91
  6. Step 6: Final answer
    x = 240,582.10

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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.