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Finding the Fourth Proportional to 357,727.56, 493,458.47 and 223,358.28

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Solution

The fourth proportional to 357,727.56, 493,458.47 and 223,358.28 is: 308,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,727.56 : 493,458.47 = 223,358.28 : x
  2. Step 2: Convert to fraction form
    357,727.56/493,458.47 = 223,358.28/x
  3. Step 3: Cross multiply
    357,727.56x = 493,458.47 × 223,358.28
  4. Step 4: Simplify right side
    357,727.56x = 110,218,033,993.84
  5. Step 5: Solve for x
    x = 110,218,033,993.84/357,727.56
  6. Step 6: Final answer
    x = 308,106.07

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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.