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Finding the Fourth Proportional to 301,527.95, 416,113.31 and 165,574.13

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Solution

The fourth proportional to 301,527.95, 416,113.31 and 165,574.13 is: 228,494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,527.95 : 416,113.31 = 165,574.13 : x
  2. Step 2: Convert to fraction form
    301,527.95/416,113.31 = 165,574.13/x
  3. Step 3: Cross multiply
    301,527.95x = 416,113.31 × 165,574.13
  4. Step 4: Simplify right side
    301,527.95x = 68,897,597,850.88
  5. Step 5: Solve for x
    x = 68,897,597,850.88/301,527.95
  6. Step 6: Final answer
    x = 228,494.89

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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.