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Finding the Fourth Proportional to 314,240.34, 471,407.41 and 145,777.70

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Solution

The fourth proportional to 314,240.34, 471,407.41 and 145,777.70 is: 218,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,240.34 : 471,407.41 = 145,777.70 : x
  2. Step 2: Convert to fraction form
    314,240.34/471,407.41 = 145,777.70/x
  3. Step 3: Cross multiply
    314,240.34x = 471,407.41 × 145,777.70
  4. Step 4: Simplify right side
    314,240.34x = 68,720,685,635.72
  5. Step 5: Solve for x
    x = 68,720,685,635.72/314,240.34
  6. Step 6: Final answer
    x = 218,688.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.