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Finding the Fourth Proportional to 341,420.40, 512,359.16 and 141,740.96

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Solution

The fourth proportional to 341,420.40, 512,359.16 and 141,740.96 is: 212,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,420.40 : 512,359.16 = 141,740.96 : x
  2. Step 2: Convert to fraction form
    341,420.40/512,359.16 = 141,740.96/x
  3. Step 3: Cross multiply
    341,420.40x = 512,359.16 × 141,740.96
  4. Step 4: Simplify right side
    341,420.40x = 72,622,275,932.69
  5. Step 5: Solve for x
    x = 72,622,275,932.69/341,420.40
  6. Step 6: Final answer
    x = 212,706.32

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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.