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Finding the Fourth Proportional to 413,715.71, 620,609.18 and 114,196.34

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Solution

The fourth proportional to 413,715.71, 620,609.18 and 114,196.34 is: 171,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,715.71 : 620,609.18 = 114,196.34 : x
  2. Step 2: Convert to fraction form
    413,715.71/620,609.18 = 114,196.34/x
  3. Step 3: Cross multiply
    413,715.71x = 620,609.18 × 114,196.34
  4. Step 4: Simplify right side
    413,715.71x = 70,871,296,926.40
  5. Step 5: Solve for x
    x = 70,871,296,926.40/413,715.71
  6. Step 6: Final answer
    x = 171,304.34

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Why These Related Problems?

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