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Finding the Fourth Proportional to 713,525.28, 984,695.04 and 407,652

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Solution

The fourth proportional to 713,525.28, 984,695.04 and 407,652 is: 562,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,525.28 : 984,695.04 = 407,652 : x
  2. Step 2: Convert to fraction form
    713,525.28/984,695.04 = 407,652/x
  3. Step 3: Cross multiply
    713,525.28x = 984,695.04 × 407,652
  4. Step 4: Simplify right side
    713,525.28x = 401,412,902,446.08
  5. Step 5: Solve for x
    x = 401,412,902,446.08/713,525.28
  6. Step 6: Final answer
    x = 562,576.99

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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.