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Finding the Fourth Proportional to 506,344.40, 759,808.20 and 191,027.60

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Solution

The fourth proportional to 506,344.40, 759,808.20 and 191,027.60 is: 286,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,344.40 : 759,808.20 = 191,027.60 : x
  2. Step 2: Convert to fraction form
    506,344.40/759,808.20 = 191,027.60/x
  3. Step 3: Cross multiply
    506,344.40x = 759,808.20 × 191,027.60
  4. Step 4: Simplify right side
    506,344.40x = 145,144,336,906.32
  5. Step 5: Solve for x
    x = 145,144,336,906.32/506,344.40
  6. Step 6: Final answer
    x = 286,651.41

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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.