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Finding the Fourth Proportional to 470,224.36, 705,336.54 and 115,235.32

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Solution

The fourth proportional to 470,224.36, 705,336.54 and 115,235.32 is: 172,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.36 : 705,336.54 = 115,235.32 : x
  2. Step 2: Convert to fraction form
    470,224.36/705,336.54 = 115,235.32/x
  3. Step 3: Cross multiply
    470,224.36x = 705,336.54 × 115,235.32
  4. Step 4: Simplify right side
    470,224.36x = 81,279,681,894.59
  5. Step 5: Solve for x
    x = 81,279,681,894.59/470,224.36
  6. Step 6: Final answer
    x = 172,852.98

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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.