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Finding the Fourth Proportional to 313,730.08, 470,653.44 and 103,376.32

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Solution

The fourth proportional to 313,730.08, 470,653.44 and 103,376.32 is: 155,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,730.08 : 470,653.44 = 103,376.32 : x
  2. Step 2: Convert to fraction form
    313,730.08/470,653.44 = 103,376.32/x
  3. Step 3: Cross multiply
    313,730.08x = 470,653.44 × 103,376.32
  4. Step 4: Simplify right side
    313,730.08x = 48,654,420,622.54
  5. Step 5: Solve for x
    x = 48,654,420,622.54/313,730.08
  6. Step 6: Final answer
    x = 155,083.70

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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.