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Finding the Fourth Proportional to 407,398.50, 611,114.31 and 194,056.74

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Solution

The fourth proportional to 407,398.50, 611,114.31 and 194,056.74 is: 291,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,398.50 : 611,114.31 = 194,056.74 : x
  2. Step 2: Convert to fraction form
    407,398.50/611,114.31 = 194,056.74/x
  3. Step 3: Cross multiply
    407,398.50x = 611,114.31 × 194,056.74
  4. Step 4: Simplify right side
    407,398.50x = 118,590,850,765.95
  5. Step 5: Solve for x
    x = 118,590,850,765.95/407,398.50
  6. Step 6: Final answer
    x = 291,093.00

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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.