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Finding the Fourth Proportional to 705,967.76, 974,243.04 and 383,677.92

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Solution

The fourth proportional to 705,967.76, 974,243.04 and 383,677.92 is: 529,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,967.76 : 974,243.04 = 383,677.92 : x
  2. Step 2: Convert to fraction form
    705,967.76/974,243.04 = 383,677.92/x
  3. Step 3: Cross multiply
    705,967.76x = 974,243.04 × 383,677.92
  4. Step 4: Simplify right side
    705,967.76x = 373,795,543,161.68
  5. Step 5: Solve for x
    x = 373,795,543,161.68/705,967.76
  6. Step 6: Final answer
    x = 529,479.62

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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.