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Finding the Fourth Proportional to 705,849.53, 974,109.65 and 399,985.20

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Solution

The fourth proportional to 705,849.53, 974,109.65 and 399,985.20 is: 552,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,849.53 : 974,109.65 = 399,985.20 : x
  2. Step 2: Convert to fraction form
    705,849.53/974,109.65 = 399,985.20/x
  3. Step 3: Cross multiply
    705,849.53x = 974,109.65 × 399,985.20
  4. Step 4: Simplify right side
    705,849.53x = 389,629,441,177.25
  5. Step 5: Solve for x
    x = 389,629,441,177.25/705,849.53
  6. Step 6: Final answer
    x = 552,000.71

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