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Finding the Fourth Proportional to 705,853.62, 974,077.24 and 383,562.94

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Solution

The fourth proportional to 705,853.62, 974,077.24 and 383,562.94 is: 529,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,853.62 : 974,077.24 = 383,562.94 : x
  2. Step 2: Convert to fraction form
    705,853.62/974,077.24 = 383,562.94/x
  3. Step 3: Cross multiply
    705,853.62x = 974,077.24 × 383,562.94
  4. Step 4: Simplify right side
    705,853.62x = 373,619,929,961.49
  5. Step 5: Solve for x
    x = 373,619,929,961.49/705,853.62
  6. Step 6: Final answer
    x = 529,316.45

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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.