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Finding the Fourth Proportional to 357,706.80, 493,527.74 and 214,414.56

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Solution

The fourth proportional to 357,706.80, 493,527.74 and 214,414.56 is: 295,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,706.80 : 493,527.74 = 214,414.56 : x
  2. Step 2: Convert to fraction form
    357,706.80/493,527.74 = 214,414.56/x
  3. Step 3: Cross multiply
    357,706.80x = 493,527.74 × 214,414.56
  4. Step 4: Simplify right side
    357,706.80x = 105,819,532,147.82
  5. Step 5: Solve for x
    x = 105,819,532,147.82/357,706.80
  6. Step 6: Final answer
    x = 295,827.57

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1.5x scale

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.