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Finding the Fourth Proportional to 706,653.70, 974,838.72 and 419,970.94

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Solution

The fourth proportional to 706,653.70, 974,838.72 and 419,970.94 is: 579,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,653.70 : 974,838.72 = 419,970.94 : x
  2. Step 2: Convert to fraction form
    706,653.70/974,838.72 = 419,970.94/x
  3. Step 3: Cross multiply
    706,653.70x = 974,838.72 × 419,970.94
  4. Step 4: Simplify right side
    706,653.70x = 409,403,933,586.80
  5. Step 5: Solve for x
    x = 409,403,933,586.80/706,653.70
  6. Step 6: Final answer
    x = 579,355.82

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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.