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Finding the Fourth Proportional to 470,223.36, 705,335.04 and 115,234.32

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Solution

The fourth proportional to 470,223.36, 705,335.04 and 115,234.32 is: 172,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223.36 : 705,335.04 = 115,234.32 : x
  2. Step 2: Convert to fraction form
    470,223.36/705,335.04 = 115,234.32/x
  3. Step 3: Cross multiply
    470,223.36x = 705,335.04 × 115,234.32
  4. Step 4: Simplify right side
    470,223.36x = 81,278,803,706.57
  5. Step 5: Solve for x
    x = 81,278,803,706.57/470,223.36
  6. Step 6: Final answer
    x = 172,851.48

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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.