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Finding the Fourth Proportional to 347,210.94, 520,820.73 and 110,552.70

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Solution

The fourth proportional to 347,210.94, 520,820.73 and 110,552.70 is: 165,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,210.94 : 520,820.73 = 110,552.70 : x
  2. Step 2: Convert to fraction form
    347,210.94/520,820.73 = 110,552.70/x
  3. Step 3: Cross multiply
    347,210.94x = 520,820.73 × 110,552.70
  4. Step 4: Simplify right side
    347,210.94x = 57,578,137,917.47
  5. Step 5: Solve for x
    x = 57,578,137,917.47/347,210.94
  6. Step 6: Final answer
    x = 165,830.43

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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.