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Finding the Fourth Proportional to 340,829.48, 470,171.82 and 260,116.88

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Solution

The fourth proportional to 340,829.48, 470,171.82 and 260,116.88 is: 358,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,829.48 : 470,171.82 = 260,116.88 : x
  2. Step 2: Convert to fraction form
    340,829.48/470,171.82 = 260,116.88/x
  3. Step 3: Cross multiply
    340,829.48x = 470,171.82 × 260,116.88
  4. Step 4: Simplify right side
    340,829.48x = 122,299,624,531.46
  5. Step 5: Solve for x
    x = 122,299,624,531.46/340,829.48
  6. Step 6: Final answer
    x = 358,829.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.