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Finding the Fourth Proportional to 341,980.94, 512,980.18 and 162,024.24

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Solution

The fourth proportional to 341,980.94, 512,980.18 and 162,024.24 is: 243,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,980.94 : 512,980.18 = 162,024.24 : x
  2. Step 2: Convert to fraction form
    341,980.94/512,980.18 = 162,024.24/x
  3. Step 3: Cross multiply
    341,980.94x = 512,980.18 × 162,024.24
  4. Step 4: Simplify right side
    341,980.94x = 83,115,223,799.56
  5. Step 5: Solve for x
    x = 83,115,223,799.56/341,980.94
  6. Step 6: Final answer
    x = 243,040.52

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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.