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Finding the Fourth Proportional to 713,708.33, 984,757.96 and 407,686.88

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Solution

The fourth proportional to 713,708.33, 984,757.96 and 407,686.88 is: 562,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,708.33 : 984,757.96 = 407,686.88 : x
  2. Step 2: Convert to fraction form
    713,708.33/984,757.96 = 407,686.88/x
  3. Step 3: Cross multiply
    713,708.33x = 984,757.96 × 407,686.88
  4. Step 4: Simplify right side
    713,708.33x = 401,472,903,239.07
  5. Step 5: Solve for x
    x = 401,472,903,239.07/713,708.33
  6. Step 6: Final answer
    x = 562,516.77

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1.5x scale

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.