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Finding the Fourth Proportional to 705,968.46, 974,244 and 383,678.58

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Solution

The fourth proportional to 705,968.46, 974,244 and 383,678.58 is: 529,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,968.46 : 974,244 = 383,678.58 : x
  2. Step 2: Convert to fraction form
    705,968.46/974,244 = 383,678.58/x
  3. Step 3: Cross multiply
    705,968.46x = 974,244 × 383,678.58
  4. Step 4: Simplify right side
    705,968.46x = 373,796,554,493.52
  5. Step 5: Solve for x
    x = 373,796,554,493.52/705,968.46
  6. Step 6: Final answer
    x = 529,480.53

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1.5x scale

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.