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Finding the Fourth Proportional to 417,018.71, 575,486.43 and 226,032.05

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Solution

The fourth proportional to 417,018.71, 575,486.43 and 226,032.05 is: 311,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,018.71 : 575,486.43 = 226,032.05 : x
  2. Step 2: Convert to fraction form
    417,018.71/575,486.43 = 226,032.05/x
  3. Step 3: Cross multiply
    417,018.71x = 575,486.43 × 226,032.05
  4. Step 4: Simplify right side
    417,018.71x = 130,078,377,520.08
  5. Step 5: Solve for x
    x = 130,078,377,520.08/417,018.71
  6. Step 6: Final answer
    x = 311,924.56

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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.