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Finding the Fourth Proportional to 357,759.48, 493,600.28 and 214,467.24

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Solution

The fourth proportional to 357,759.48, 493,600.28 and 214,467.24 is: 295,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,759.48 : 493,600.28 = 214,467.24 : x
  2. Step 2: Convert to fraction form
    357,759.48/493,600.28 = 214,467.24/x
  3. Step 3: Cross multiply
    357,759.48x = 493,600.28 × 214,467.24
  4. Step 4: Simplify right side
    357,759.48x = 105,861,089,714.83
  5. Step 5: Solve for x
    x = 105,861,089,714.83/357,759.48
  6. Step 6: Final answer
    x = 295,900.17

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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.