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Finding the Fourth Proportional to 357,729.74, 493,559.38 and 214,437.50

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Solution

The fourth proportional to 357,729.74, 493,559.38 and 214,437.50 is: 295,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,729.74 : 493,559.38 = 214,437.50 : x
  2. Step 2: Convert to fraction form
    357,729.74/493,559.38 = 214,437.50/x
  3. Step 3: Cross multiply
    357,729.74x = 493,559.38 × 214,437.50
  4. Step 4: Simplify right side
    357,729.74x = 105,837,639,548.75
  5. Step 5: Solve for x
    x = 105,837,639,548.75/357,729.74
  6. Step 6: Final answer
    x = 295,859.21

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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.