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Finding the Fourth Proportional to 470,538.85, 705,411.43 and 204,098.76

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Solution

The fourth proportional to 470,538.85, 705,411.43 and 204,098.76 is: 305,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,538.85 : 705,411.43 = 204,098.76 : x
  2. Step 2: Convert to fraction form
    470,538.85/705,411.43 = 204,098.76/x
  3. Step 3: Cross multiply
    470,538.85x = 705,411.43 × 204,098.76
  4. Step 4: Simplify right side
    470,538.85x = 143,973,598,152.83
  5. Step 5: Solve for x
    x = 143,973,598,152.83/470,538.85
  6. Step 6: Final answer
    x = 305,976.01

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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.