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Finding the Fourth Proportional to 309,152.34, 463,845.30 and 119,624.11

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Solution

The fourth proportional to 309,152.34, 463,845.30 and 119,624.11 is: 179,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,152.34 : 463,845.30 = 119,624.11 : x
  2. Step 2: Convert to fraction form
    309,152.34/463,845.30 = 119,624.11/x
  3. Step 3: Cross multiply
    309,152.34x = 463,845.30 × 119,624.11
  4. Step 4: Simplify right side
    309,152.34x = 55,487,080,030.57
  5. Step 5: Solve for x
    x = 55,487,080,030.57/309,152.34
  6. Step 6: Final answer
    x = 179,481.35

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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.