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Finding the Fourth Proportional to 341,333, 511,980.32 and 104,675.02

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Solution

The fourth proportional to 341,333, 511,980.32 and 104,675.02 is: 157,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,333 : 511,980.32 = 104,675.02 : x
  2. Step 2: Convert to fraction form
    341,333/511,980.32 = 104,675.02/x
  3. Step 3: Cross multiply
    341,333x = 511,980.32 × 104,675.02
  4. Step 4: Simplify right side
    341,333x = 53,591,550,235.61
  5. Step 5: Solve for x
    x = 53,591,550,235.61/341,333
  6. Step 6: Final answer
    x = 157,006.65

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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.