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Finding the Fourth Proportional to 340,428, 510,642 and 91,103.52

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Solution

The fourth proportional to 340,428, 510,642 and 91,103.52 is: 136,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,428 : 510,642 = 91,103.52 : x
  2. Step 2: Convert to fraction form
    340,428/510,642 = 91,103.52/x
  3. Step 3: Cross multiply
    340,428x = 510,642 × 91,103.52
  4. Step 4: Simplify right side
    340,428x = 46,521,283,659.84
  5. Step 5: Solve for x
    x = 46,521,283,659.84/340,428
  6. Step 6: Final answer
    x = 136,655.28

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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.