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Finding the Fourth Proportional to 415,014.14, 572,740.83 and 253,818.56

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Solution

The fourth proportional to 415,014.14, 572,740.83 and 253,818.56 is: 350,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,014.14 : 572,740.83 = 253,818.56 : x
  2. Step 2: Convert to fraction form
    415,014.14/572,740.83 = 253,818.56/x
  3. Step 3: Cross multiply
    415,014.14x = 572,740.83 × 253,818.56
  4. Step 4: Simplify right side
    415,014.14x = 145,372,254,155.66
  5. Step 5: Solve for x
    x = 145,372,254,155.66/415,014.14
  6. Step 6: Final answer
    x = 350,282.65

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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.