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Finding the Fourth Proportional to 340,591.53, 470,030.84 and 189,688.53

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Solution

The fourth proportional to 340,591.53, 470,030.84 and 189,688.53 is: 261,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,591.53 : 470,030.84 = 189,688.53 : x
  2. Step 2: Convert to fraction form
    340,591.53/470,030.84 = 189,688.53/x
  3. Step 3: Cross multiply
    340,591.53x = 470,030.84 × 189,688.53
  4. Step 4: Simplify right side
    340,591.53x = 89,159,458,145.82
  5. Step 5: Solve for x
    x = 89,159,458,145.82/340,591.53
  6. Step 6: Final answer
    x = 261,778.26

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Why These Related Problems?

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