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Finding the Fourth Proportional to 504,558.30, 696,353.12 and 289,693.75

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Solution

The fourth proportional to 504,558.30, 696,353.12 and 289,693.75 is: 399,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,558.30 : 696,353.12 = 289,693.75 : x
  2. Step 2: Convert to fraction form
    504,558.30/696,353.12 = 289,693.75/x
  3. Step 3: Cross multiply
    504,558.30x = 696,353.12 × 289,693.75
  4. Step 4: Simplify right side
    504,558.30x = 201,729,146,657
  5. Step 5: Solve for x
    x = 201,729,146,657/504,558.30
  6. Step 6: Final answer
    x = 399,813.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.