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Finding the Fourth Proportional to 294,643.56, 406,608.18 and 160,507.56

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Solution

The fourth proportional to 294,643.56, 406,608.18 and 160,507.56 is: 221,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,643.56 : 406,608.18 = 160,507.56 : x
  2. Step 2: Convert to fraction form
    294,643.56/406,608.18 = 160,507.56/x
  3. Step 3: Cross multiply
    294,643.56x = 406,608.18 × 160,507.56
  4. Step 4: Simplify right side
    294,643.56x = 65,263,686,847.84
  5. Step 5: Solve for x
    x = 65,263,686,847.84/294,643.56
  6. Step 6: Final answer
    x = 221,500.47

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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.