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Finding the Fourth Proportional to 705,966.74, 974,241.64 and 383,676.85

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Solution

The fourth proportional to 705,966.74, 974,241.64 and 383,676.85 is: 529,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,966.74 : 974,241.64 = 383,676.85 : x
  2. Step 2: Convert to fraction form
    705,966.74/974,241.64 = 383,676.85/x
  3. Step 3: Cross multiply
    705,966.74x = 974,241.64 × 383,676.85
  4. Step 4: Simplify right side
    705,966.74x = 373,793,965,271.43
  5. Step 5: Solve for x
    x = 373,793,965,271.43/705,966.74
  6. Step 6: Final answer
    x = 529,478.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.