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Finding the Fourth Proportional to 340,453.64, 509,720.34 and 180,166.52

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Solution

The fourth proportional to 340,453.64, 509,720.34 and 180,166.52 is: 269,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,453.64 : 509,720.34 = 180,166.52 : x
  2. Step 2: Convert to fraction form
    340,453.64/509,720.34 = 180,166.52/x
  3. Step 3: Cross multiply
    340,453.64x = 509,720.34 × 180,166.52
  4. Step 4: Simplify right side
    340,453.64x = 91,834,539,831.02
  5. Step 5: Solve for x
    x = 91,834,539,831.02/340,453.64
  6. Step 6: Final answer
    x = 269,741.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.