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Finding the Fourth Proportional to 417,019.71, 575,487.81 and 226,033.05

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Solution

The fourth proportional to 417,019.71, 575,487.81 and 226,033.05 is: 311,925.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,019.71 : 575,487.81 = 226,033.05 : x
  2. Step 2: Convert to fraction form
    417,019.71/575,487.81 = 226,033.05/x
  3. Step 3: Cross multiply
    417,019.71x = 575,487.81 × 226,033.05
  4. Step 4: Simplify right side
    417,019.71x = 130,079,264,932.12
  5. Step 5: Solve for x
    x = 130,079,264,932.12/417,019.71
  6. Step 6: Final answer
    x = 311,925.94

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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.