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Finding the Fourth Proportional to 357,430.95, 493,266.20 and 206,527.95

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Solution

The fourth proportional to 357,430.95, 493,266.20 and 206,527.95 is: 285,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430.95 : 493,266.20 = 206,527.95 : x
  2. Step 2: Convert to fraction form
    357,430.95/493,266.20 = 206,527.95/x
  3. Step 3: Cross multiply
    357,430.95x = 493,266.20 × 206,527.95
  4. Step 4: Simplify right side
    357,430.95x = 101,873,256,057.65
  5. Step 5: Solve for x
    x = 101,873,256,057.65/357,430.95
  6. Step 6: Final answer
    x = 285,015.21

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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.