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Finding the Fourth Proportional to 415,030.37, 572,734.16 and 226,222.14

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Solution

The fourth proportional to 415,030.37, 572,734.16 and 226,222.14 is: 312,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,030.37 : 572,734.16 = 226,222.14 : x
  2. Step 2: Convert to fraction form
    415,030.37/572,734.16 = 226,222.14/x
  3. Step 3: Cross multiply
    415,030.37x = 572,734.16 × 226,222.14
  4. Step 4: Simplify right side
    415,030.37x = 129,565,146,195.19
  5. Step 5: Solve for x
    x = 129,565,146,195.19/415,030.37
  6. Step 6: Final answer
    x = 312,182.33

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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.