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Finding the Fourth Proportional to 417,017.46, 575,484.71 and 226,030.80

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Solution

The fourth proportional to 417,017.46, 575,484.71 and 226,030.80 is: 311,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,017.46 : 575,484.71 = 226,030.80 : x
  2. Step 2: Convert to fraction form
    417,017.46/575,484.71 = 226,030.80/x
  3. Step 3: Cross multiply
    417,017.46x = 575,484.71 × 226,030.80
  4. Step 4: Simplify right side
    417,017.46x = 130,077,268,258.91
  5. Step 5: Solve for x
    x = 130,077,268,258.91/417,017.46
  6. Step 6: Final answer
    x = 311,922.83

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