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Finding the Fourth Proportional to 470,463.44, 705,142.20 and 364,295.12

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Solution

The fourth proportional to 470,463.44, 705,142.20 and 364,295.12 is: 546,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,463.44 : 705,142.20 = 364,295.12 : x
  2. Step 2: Convert to fraction form
    470,463.44/705,142.20 = 364,295.12/x
  3. Step 3: Cross multiply
    470,463.44x = 705,142.20 × 364,295.12
  4. Step 4: Simplify right side
    470,463.44x = 256,879,862,366.06
  5. Step 5: Solve for x
    x = 256,879,862,366.06/470,463.44
  6. Step 6: Final answer
    x = 546,014.51

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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.