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Finding the Fourth Proportional to 470,458.20, 705,687.30 and 115,467.60

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Solution

The fourth proportional to 470,458.20, 705,687.30 and 115,467.60 is: 173,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,458.20 : 705,687.30 = 115,467.60 : x
  2. Step 2: Convert to fraction form
    470,458.20/705,687.30 = 115,467.60/x
  3. Step 3: Cross multiply
    470,458.20x = 705,687.30 × 115,467.60
  4. Step 4: Simplify right side
    470,458.20x = 81,484,018,881.48
  5. Step 5: Solve for x
    x = 81,484,018,881.48/470,458.20
  6. Step 6: Final answer
    x = 173,201.40

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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.