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Finding the Fourth Proportional to 409,627.40, 614,441.10 and 114,139.40

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Solution

The fourth proportional to 409,627.40, 614,441.10 and 114,139.40 is: 171,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,627.40 : 614,441.10 = 114,139.40 : x
  2. Step 2: Convert to fraction form
    409,627.40/614,441.10 = 114,139.40/x
  3. Step 3: Cross multiply
    409,627.40x = 614,441.10 × 114,139.40
  4. Step 4: Simplify right side
    409,627.40x = 70,131,938,489.34
  5. Step 5: Solve for x
    x = 70,131,938,489.34/409,627.40
  6. Step 6: Final answer
    x = 171,209.10

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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.