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Finding the Fourth Proportional to 713,563.11, 985,233.69 and 459,357.12

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Solution

The fourth proportional to 713,563.11, 985,233.69 and 459,357.12 is: 634,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,563.11 : 985,233.69 = 459,357.12 : x
  2. Step 2: Convert to fraction form
    713,563.11/985,233.69 = 459,357.12/x
  3. Step 3: Cross multiply
    713,563.11x = 985,233.69 × 459,357.12
  4. Step 4: Simplify right side
    713,563.11x = 452,574,110,365.37
  5. Step 5: Solve for x
    x = 452,574,110,365.37/713,563.11
  6. Step 6: Final answer
    x = 634,245.39

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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.