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Finding the Fourth Proportional to 705,833.86, 974,056.62 and 383,543.95

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Solution

The fourth proportional to 705,833.86, 974,056.62 and 383,543.95 is: 529,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,833.86 : 974,056.62 = 383,543.95 : x
  2. Step 2: Convert to fraction form
    705,833.86/974,056.62 = 383,543.95/x
  3. Step 3: Cross multiply
    705,833.86x = 974,056.62 × 383,543.95
  4. Step 4: Simplify right side
    705,833.86x = 373,593,523,558.45
  5. Step 5: Solve for x
    x = 373,593,523,558.45/705,833.86
  6. Step 6: Final answer
    x = 529,293.85

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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.