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Finding the Fourth Proportional to 264,292.47, 364,741.38 and 149,570.82

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Solution

The fourth proportional to 264,292.47, 364,741.38 and 149,570.82 is: 206,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,292.47 : 364,741.38 = 149,570.82 : x
  2. Step 2: Convert to fraction form
    264,292.47/364,741.38 = 149,570.82/x
  3. Step 3: Cross multiply
    264,292.47x = 364,741.38 × 149,570.82
  4. Step 4: Simplify right side
    264,292.47x = 54,554,667,294.53
  5. Step 5: Solve for x
    x = 54,554,667,294.53/264,292.47
  6. Step 6: Final answer
    x = 206,417.79

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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.