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Finding the Fourth Proportional to 706,023.80, 974,320.32 and 383,733.92

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Solution

The fourth proportional to 706,023.80, 974,320.32 and 383,733.92 is: 529,556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,023.80 : 974,320.32 = 383,733.92 : x
  2. Step 2: Convert to fraction form
    706,023.80/974,320.32 = 383,733.92/x
  3. Step 3: Cross multiply
    706,023.80x = 974,320.32 × 383,733.92
  4. Step 4: Simplify right side
    706,023.80x = 373,879,755,729.25
  5. Step 5: Solve for x
    x = 373,879,755,729.25/706,023.80
  6. Step 6: Final answer
    x = 529,556.87

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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.