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Finding the Fourth Proportional to 357,707.80, 493,529.11 and 214,415.56

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Solution

The fourth proportional to 357,707.80, 493,529.11 and 214,415.56 is: 295,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,707.80 : 493,529.11 = 214,415.56 : x
  2. Step 2: Convert to fraction form
    357,707.80/493,529.11 = 214,415.56/x
  3. Step 3: Cross multiply
    357,707.80x = 493,529.11 × 214,415.56
  4. Step 4: Simplify right side
    357,707.80x = 105,820,320,496.95
  5. Step 5: Solve for x
    x = 105,820,320,496.95/357,707.80
  6. Step 6: Final answer
    x = 295,828.94

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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.