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Finding the Fourth Proportional to 341,423.30, 511,845.74 and 141,618.98

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Solution

The fourth proportional to 341,423.30, 511,845.74 and 141,618.98 is: 212,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,423.30 : 511,845.74 = 141,618.98 : x
  2. Step 2: Convert to fraction form
    341,423.30/511,845.74 = 141,618.98/x
  3. Step 3: Cross multiply
    341,423.30x = 511,845.74 × 141,618.98
  4. Step 4: Simplify right side
    341,423.30x = 72,487,071,616.15
  5. Step 5: Solve for x
    x = 72,487,071,616.15/341,423.30
  6. Step 6: Final answer
    x = 212,308.51

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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.