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Finding the Fourth Proportional to 409,005.84, 613,570.68 and 128,496.72

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Solution

The fourth proportional to 409,005.84, 613,570.68 and 128,496.72 is: 192,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,005.84 : 613,570.68 = 128,496.72 : x
  2. Step 2: Convert to fraction form
    409,005.84/613,570.68 = 128,496.72/x
  3. Step 3: Cross multiply
    409,005.84x = 613,570.68 × 128,496.72
  4. Step 4: Simplify right side
    409,005.84x = 78,841,819,868.17
  5. Step 5: Solve for x
    x = 78,841,819,868.17/409,005.84
  6. Step 6: Final answer
    x = 192,764.53

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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.