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Finding the Fourth Proportional to 531,482.13, 797,219.82 and 194,546.25

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Solution

The fourth proportional to 531,482.13, 797,219.82 and 194,546.25 is: 291,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,482.13 : 797,219.82 = 194,546.25 : x
  2. Step 2: Convert to fraction form
    531,482.13/797,219.82 = 194,546.25/x
  3. Step 3: Cross multiply
    531,482.13x = 797,219.82 × 194,546.25
  4. Step 4: Simplify right side
    531,482.13x = 155,096,126,406.68
  5. Step 5: Solve for x
    x = 155,096,126,406.68/531,482.13
  6. Step 6: Final answer
    x = 291,818.14

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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.