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Finding the Fourth Proportional to 705,892.86, 974,128.95 and 383,596.86

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Solution

The fourth proportional to 705,892.86, 974,128.95 and 383,596.86 is: 529,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,892.86 : 974,128.95 = 383,596.86 : x
  2. Step 2: Convert to fraction form
    705,892.86/974,128.95 = 383,596.86/x
  3. Step 3: Cross multiply
    705,892.86x = 974,128.95 × 383,596.86
  4. Step 4: Simplify right side
    705,892.86x = 373,672,806,455.10
  5. Step 5: Solve for x
    x = 373,672,806,455.10/705,892.86
  6. Step 6: Final answer
    x = 529,361.93

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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.