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Finding the Fourth Proportional to 409,601.40, 614,402.10 and 114,113.40

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Solution

The fourth proportional to 409,601.40, 614,402.10 and 114,113.40 is: 171,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,601.40 : 614,402.10 = 114,113.40 : x
  2. Step 2: Convert to fraction form
    409,601.40/614,402.10 = 114,113.40/x
  3. Step 3: Cross multiply
    409,601.40x = 614,402.10 × 114,113.40
  4. Step 4: Simplify right side
    409,601.40x = 70,111,512,598.14
  5. Step 5: Solve for x
    x = 70,111,512,598.14/409,601.40
  6. Step 6: Final answer
    x = 171,170.10

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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.