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Finding the Fourth Proportional to 409,602, 614,506.71 and 114,114

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Solution

The fourth proportional to 409,602, 614,506.71 and 114,114 is: 171,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,602 : 614,506.71 = 114,114 : x
  2. Step 2: Convert to fraction form
    409,602/614,506.71 = 114,114/x
  3. Step 3: Cross multiply
    409,602x = 614,506.71 × 114,114
  4. Step 4: Simplify right side
    409,602x = 70,123,818,704.94
  5. Step 5: Solve for x
    x = 70,123,818,704.94/409,602
  6. Step 6: Final answer
    x = 171,199.89

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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.