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Finding the Fourth Proportional to 347,116.95, 520,686.76 and 119,410.22

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Solution

The fourth proportional to 347,116.95, 520,686.76 and 119,410.22 is: 179,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,116.95 : 520,686.76 = 119,410.22 : x
  2. Step 2: Convert to fraction form
    347,116.95/520,686.76 = 119,410.22/x
  3. Step 3: Cross multiply
    347,116.95x = 520,686.76 × 119,410.22
  4. Step 4: Simplify right side
    347,116.95x = 62,175,320,562.69
  5. Step 5: Solve for x
    x = 62,175,320,562.69/347,116.95
  6. Step 6: Final answer
    x = 179,119.23

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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.