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Finding the Fourth Proportional to 340,309.74, 510,464.67 and 140,410.50

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Solution

The fourth proportional to 340,309.74, 510,464.67 and 140,410.50 is: 210,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,309.74 : 510,464.67 = 140,410.50 : x
  2. Step 2: Convert to fraction form
    340,309.74/510,464.67 = 140,410.50/x
  3. Step 3: Cross multiply
    340,309.74x = 510,464.67 × 140,410.50
  4. Step 4: Simplify right side
    340,309.74x = 71,674,599,547.04
  5. Step 5: Solve for x
    x = 71,674,599,547.04/340,309.74
  6. Step 6: Final answer
    x = 210,615.77

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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.