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Finding the Fourth Proportional to 470,733.96, 705,703.02 and 204,294.18

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Solution

The fourth proportional to 470,733.96, 705,703.02 and 204,294.18 is: 306,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,733.96 : 705,703.02 = 204,294.18 : x
  2. Step 2: Convert to fraction form
    470,733.96/705,703.02 = 204,294.18/x
  3. Step 3: Cross multiply
    470,733.96x = 705,703.02 × 204,294.18
  4. Step 4: Simplify right side
    470,733.96x = 144,171,019,794.42
  5. Step 5: Solve for x
    x = 144,171,019,794.42/470,733.96
  6. Step 6: Final answer
    x = 306,268.58

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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.