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Finding the Fourth Proportional to 470,705.67, 705,661.67 and 204,265.48

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Solution

The fourth proportional to 470,705.67, 705,661.67 and 204,265.48 is: 306,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,705.67 : 705,661.67 = 204,265.48 : x
  2. Step 2: Convert to fraction form
    470,705.67/705,661.67 = 204,265.48/x
  3. Step 3: Cross multiply
    470,705.67x = 705,661.67 × 204,265.48
  4. Step 4: Simplify right side
    470,705.67x = 144,142,319,740.15
  5. Step 5: Solve for x
    x = 144,142,319,740.15/470,705.67
  6. Step 6: Final answer
    x = 306,226.01

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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.