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Finding the Fourth Proportional to 357,393.12, 493,168.56 and 214,126.56

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Solution

The fourth proportional to 357,393.12, 493,168.56 and 214,126.56 is: 295,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,393.12 : 493,168.56 = 214,126.56 : x
  2. Step 2: Convert to fraction form
    357,393.12/493,168.56 = 214,126.56/x
  3. Step 3: Cross multiply
    357,393.12x = 493,168.56 × 214,126.56
  4. Step 4: Simplify right side
    357,393.12x = 105,600,487,252.95
  5. Step 5: Solve for x
    x = 105,600,487,252.95/357,393.12
  6. Step 6: Final answer
    x = 295,474.31

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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.