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Finding the Fourth Proportional to 341,120.49, 511,798.74 and 116,638.93

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Solution

The fourth proportional to 341,120.49, 511,798.74 and 116,638.93 is: 174,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,120.49 : 511,798.74 = 116,638.93 : x
  2. Step 2: Convert to fraction form
    341,120.49/511,798.74 = 116,638.93/x
  3. Step 3: Cross multiply
    341,120.49x = 511,798.74 × 116,638.93
  4. Step 4: Simplify right side
    341,120.49x = 59,695,657,408.95
  5. Step 5: Solve for x
    x = 59,695,657,408.95/341,120.49
  6. Step 6: Final answer
    x = 174,998.74

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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.