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Finding the Fourth Proportional to 243,658.40, 365,001.60 and 214,433.60

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Solution

The fourth proportional to 243,658.40, 365,001.60 and 214,433.60 is: 321,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,658.40 : 365,001.60 = 214,433.60 : x
  2. Step 2: Convert to fraction form
    243,658.40/365,001.60 = 214,433.60/x
  3. Step 3: Cross multiply
    243,658.40x = 365,001.60 × 214,433.60
  4. Step 4: Simplify right side
    243,658.40x = 78,268,607,093.76
  5. Step 5: Solve for x
    x = 78,268,607,093.76/243,658.40
  6. Step 6: Final answer
    x = 321,222.69

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1.5x scale

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.