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Finding the Fourth Proportional to 713,848.68, 985,093.41 and 407,905.59

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Solution

The fourth proportional to 713,848.68, 985,093.41 and 407,905.59 is: 562,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,848.68 : 985,093.41 = 407,905.59 : x
  2. Step 2: Convert to fraction form
    713,848.68/985,093.41 = 407,905.59/x
  3. Step 3: Cross multiply
    713,848.68x = 985,093.41 × 407,905.59
  4. Step 4: Simplify right side
    713,848.68x = 401,825,108,611.16
  5. Step 5: Solve for x
    x = 401,825,108,611.16/713,848.68
  6. Step 6: Final answer
    x = 562,899.56

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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.