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Finding the Fourth Proportional to 713,533.41, 985,192.79 and 459,327.46

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Solution

The fourth proportional to 713,533.41, 985,192.79 and 459,327.46 is: 634,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,533.41 : 985,192.79 = 459,327.46 : x
  2. Step 2: Convert to fraction form
    713,533.41/985,192.79 = 459,327.46/x
  3. Step 3: Cross multiply
    713,533.41x = 985,192.79 × 459,327.46
  4. Step 4: Simplify right side
    713,533.41x = 452,526,100,775.87
  5. Step 5: Solve for x
    x = 452,526,100,775.87/713,533.41
  6. Step 6: Final answer
    x = 634,204.51

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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.