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Finding the Fourth Proportional to 243,430.30, 365,232.93 and 214,211.98

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Solution

The fourth proportional to 243,430.30, 365,232.93 and 214,211.98 is: 321,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,430.30 : 365,232.93 = 214,211.98 : x
  2. Step 2: Convert to fraction form
    243,430.30/365,232.93 = 214,211.98/x
  3. Step 3: Cross multiply
    243,430.30x = 365,232.93 × 214,211.98
  4. Step 4: Simplify right side
    243,430.30x = 78,237,269,096.50
  5. Step 5: Solve for x
    x = 78,237,269,096.50/243,430.30
  6. Step 6: Final answer
    x = 321,394.95

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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.