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Finding the Fourth Proportional to 409,307.69, 614,044.57 and 128,759.69

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Solution

The fourth proportional to 409,307.69, 614,044.57 and 128,759.69 is: 193,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,307.69 : 614,044.57 = 128,759.69 : x
  2. Step 2: Convert to fraction form
    409,307.69/614,044.57 = 128,759.69/x
  3. Step 3: Cross multiply
    409,307.69x = 614,044.57 × 128,759.69
  4. Step 4: Simplify right side
    409,307.69x = 79,064,185,087.26
  5. Step 5: Solve for x
    x = 79,064,185,087.26/409,307.69
  6. Step 6: Final answer
    x = 193,165.65

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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.