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Finding the Fourth Proportional to 531,393.92, 797,008.70 and 194,355.75

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Solution

The fourth proportional to 531,393.92, 797,008.70 and 194,355.75 is: 291,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,393.92 : 797,008.70 = 194,355.75 : x
  2. Step 2: Convert to fraction form
    531,393.92/797,008.70 = 194,355.75/x
  3. Step 3: Cross multiply
    531,393.92x = 797,008.70 × 194,355.75
  4. Step 4: Simplify right side
    531,393.92x = 154,903,223,784.86
  5. Step 5: Solve for x
    x = 154,903,223,784.86/531,393.92
  6. Step 6: Final answer
    x = 291,503.57

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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.