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Finding the Fourth Proportional to 469,902.95, 704,848.32 and 114,920.05

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Solution

The fourth proportional to 469,902.95, 704,848.32 and 114,920.05 is: 172,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,902.95 : 704,848.32 = 114,920.05 : x
  2. Step 2: Convert to fraction form
    469,902.95/704,848.32 = 114,920.05/x
  3. Step 3: Cross multiply
    469,902.95x = 704,848.32 × 114,920.05
  4. Step 4: Simplify right side
    469,902.95x = 81,001,204,176.82
  5. Step 5: Solve for x
    x = 81,001,204,176.82/469,902.95
  6. Step 6: Final answer
    x = 172,378.58

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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.