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Finding the Fourth Proportional to 705,982.64, 974,397.74 and 419,447.56

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Solution

The fourth proportional to 705,982.64, 974,397.74 and 419,447.56 is: 578,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,982.64 : 974,397.74 = 419,447.56 : x
  2. Step 2: Convert to fraction form
    705,982.64/974,397.74 = 419,447.56/x
  3. Step 3: Cross multiply
    705,982.64x = 974,397.74 × 419,447.56
  4. Step 4: Simplify right side
    705,982.64x = 408,708,754,512.51
  5. Step 5: Solve for x
    x = 408,708,754,512.51/705,982.64
  6. Step 6: Final answer
    x = 578,921.82

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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.