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Finding the Fourth Proportional to 706,617.46, 974,810.46 and 419,974.66

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Solution

The fourth proportional to 706,617.46, 974,810.46 and 419,974.66 is: 579,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,617.46 : 974,810.46 = 419,974.66 : x
  2. Step 2: Convert to fraction form
    706,617.46/974,810.46 = 419,974.66/x
  3. Step 3: Cross multiply
    706,617.46x = 974,810.46 × 419,974.66
  4. Step 4: Simplify right side
    706,617.46x = 409,395,691,502.94
  5. Step 5: Solve for x
    x = 409,395,691,502.94/706,617.46
  6. Step 6: Final answer
    x = 579,373.87

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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.