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Finding the Fourth Proportional to 706,048.30, 974,346.87 and 383,758.48

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Solution

The fourth proportional to 706,048.30, 974,346.87 and 383,758.48 is: 529,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,048.30 : 974,346.87 = 383,758.48 : x
  2. Step 2: Convert to fraction form
    706,048.30/974,346.87 = 383,758.48/x
  3. Step 3: Cross multiply
    706,048.30x = 974,346.87 × 383,758.48
  4. Step 4: Simplify right side
    706,048.30x = 373,913,873,823.96
  5. Step 5: Solve for x
    x = 373,913,873,823.96/706,048.30
  6. Step 6: Final answer
    x = 529,586.82

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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.