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Finding the Fourth Proportional to 470,529.84, 705,397.92 and 204,089.66

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Solution

The fourth proportional to 470,529.84, 705,397.92 and 204,089.66 is: 305,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,529.84 : 705,397.92 = 204,089.66 : x
  2. Step 2: Convert to fraction form
    470,529.84/705,397.92 = 204,089.66/x
  3. Step 3: Cross multiply
    470,529.84x = 705,397.92 × 204,089.66
  4. Step 4: Simplify right side
    470,529.84x = 143,964,420,010.42
  5. Step 5: Solve for x
    x = 143,964,420,010.42/470,529.84
  6. Step 6: Final answer
    x = 305,962.36

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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.