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Finding the Fourth Proportional to 466,056.80, 698,566.80 and 255,845.60

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Solution

The fourth proportional to 466,056.80, 698,566.80 and 255,845.60 is: 383,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,056.80 : 698,566.80 = 255,845.60 : x
  2. Step 2: Convert to fraction form
    466,056.80/698,566.80 = 255,845.60/x
  3. Step 3: Cross multiply
    466,056.80x = 698,566.80 × 255,845.60
  4. Step 4: Simplify right side
    466,056.80x = 178,725,242,086.08
  5. Step 5: Solve for x
    x = 178,725,242,086.08/466,056.80
  6. Step 6: Final answer
    x = 383,483.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.