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Finding the Fourth Proportional to 309,153.34, 463,846.80 and 119,625.11

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Solution

The fourth proportional to 309,153.34, 463,846.80 and 119,625.11 is: 179,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,153.34 : 463,846.80 = 119,625.11 : x
  2. Step 2: Convert to fraction form
    309,153.34/463,846.80 = 119,625.11/x
  3. Step 3: Cross multiply
    309,153.34x = 463,846.80 × 119,625.11
  4. Step 4: Simplify right side
    309,153.34x = 55,487,724,473.15
  5. Step 5: Solve for x
    x = 55,487,724,473.15/309,153.34
  6. Step 6: Final answer
    x = 179,482.86

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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.