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Finding the Fourth Proportional to 705,893.86, 974,130.33 and 383,597.86

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Solution

The fourth proportional to 705,893.86, 974,130.33 and 383,597.86 is: 529,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,893.86 : 974,130.33 = 383,597.86 : x
  2. Step 2: Convert to fraction form
    705,893.86/974,130.33 = 383,597.86/x
  3. Step 3: Cross multiply
    705,893.86x = 974,130.33 × 383,597.86
  4. Step 4: Simplify right side
    705,893.86x = 373,674,309,949.09
  5. Step 5: Solve for x
    x = 373,674,309,949.09/705,893.86
  6. Step 6: Final answer
    x = 529,363.31

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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.