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Finding the Fourth Proportional to 705,943.28, 974,211 and 383,658.50

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Solution

The fourth proportional to 705,943.28, 974,211 and 383,658.50 is: 529,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,943.28 : 974,211 = 383,658.50 : x
  2. Step 2: Convert to fraction form
    705,943.28/974,211 = 383,658.50/x
  3. Step 3: Cross multiply
    705,943.28x = 974,211 × 383,658.50
  4. Step 4: Simplify right side
    705,943.28x = 373,764,330,943.50
  5. Step 5: Solve for x
    x = 373,764,330,943.50/705,943.28
  6. Step 6: Final answer
    x = 529,453.77

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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.