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Finding the Fourth Proportional to 415,967.60, 623,951.40 and 166,828.40

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Solution

The fourth proportional to 415,967.60, 623,951.40 and 166,828.40 is: 250,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,967.60 : 623,951.40 = 166,828.40 : x
  2. Step 2: Convert to fraction form
    415,967.60/623,951.40 = 166,828.40/x
  3. Step 3: Cross multiply
    415,967.60x = 623,951.40 × 166,828.40
  4. Step 4: Simplify right side
    415,967.60x = 104,092,813,739.76
  5. Step 5: Solve for x
    x = 104,092,813,739.76/415,967.60
  6. Step 6: Final answer
    x = 250,242.60

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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.