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Finding the Fourth Proportional to 354,109.41, 531,108.99 and 194,264.01

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Solution

The fourth proportional to 354,109.41, 531,108.99 and 194,264.01 is: 291,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,109.41 : 531,108.99 = 194,264.01 : x
  2. Step 2: Convert to fraction form
    354,109.41/531,108.99 = 194,264.01/x
  3. Step 3: Cross multiply
    354,109.41x = 531,108.99 × 194,264.01
  4. Step 4: Simplify right side
    354,109.41x = 103,175,362,144.45
  5. Step 5: Solve for x
    x = 103,175,362,144.45/354,109.41
  6. Step 6: Final answer
    x = 291,365.77

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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.