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Finding the Fourth Proportional to 340,223.58, 510,409.19 and 103,560.12

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Solution

The fourth proportional to 340,223.58, 510,409.19 and 103,560.12 is: 155,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,223.58 : 510,409.19 = 103,560.12 : x
  2. Step 2: Convert to fraction form
    340,223.58/510,409.19 = 103,560.12/x
  3. Step 3: Cross multiply
    340,223.58x = 510,409.19 × 103,560.12
  4. Step 4: Simplify right side
    340,223.58x = 52,858,037,224.40
  5. Step 5: Solve for x
    x = 52,858,037,224.40/340,223.58
  6. Step 6: Final answer
    x = 155,362.65

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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.