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Finding the Fourth Proportional to 470,498.17, 705,350.52 and 204,058.01

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Solution

The fourth proportional to 470,498.17, 705,350.52 and 204,058.01 is: 305,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,498.17 : 705,350.52 = 204,058.01 : x
  2. Step 2: Convert to fraction form
    470,498.17/705,350.52 = 204,058.01/x
  3. Step 3: Cross multiply
    470,498.17x = 705,350.52 × 204,058.01
  4. Step 4: Simplify right side
    470,498.17x = 143,932,423,463.67
  5. Step 5: Solve for x
    x = 143,932,423,463.67/470,498.17
  6. Step 6: Final answer
    x = 305,914.95

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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.