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Finding the Fourth Proportional to 357,722.74, 493,549.73 and 214,430.50

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Solution

The fourth proportional to 357,722.74, 493,549.73 and 214,430.50 is: 295,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,722.74 : 493,549.73 = 214,430.50 : x
  2. Step 2: Convert to fraction form
    357,722.74/493,549.73 = 214,430.50/x
  3. Step 3: Cross multiply
    357,722.74x = 493,549.73 × 214,430.50
  4. Step 4: Simplify right side
    357,722.74x = 105,832,113,876.85
  5. Step 5: Solve for x
    x = 105,832,113,876.85/357,722.74
  6. Step 6: Final answer
    x = 295,849.56

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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.