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Finding the Fourth Proportional to 706,047.30, 974,345.49 and 383,757.48

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Solution

The fourth proportional to 706,047.30, 974,345.49 and 383,757.48 is: 529,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,047.30 : 974,345.49 = 383,757.48 : x
  2. Step 2: Convert to fraction form
    706,047.30/974,345.49 = 383,757.48/x
  3. Step 3: Cross multiply
    706,047.30x = 974,345.49 × 383,757.48
  4. Step 4: Simplify right side
    706,047.30x = 373,912,369,891.77
  5. Step 5: Solve for x
    x = 373,912,369,891.77/706,047.30
  6. Step 6: Final answer
    x = 529,585.44

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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.