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Finding the Fourth Proportional to 257,689.44, 355,655.88 and 150,322.32

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Solution

The fourth proportional to 257,689.44, 355,655.88 and 150,322.32 is: 207,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,689.44 : 355,655.88 = 150,322.32 : x
  2. Step 2: Convert to fraction form
    257,689.44/355,655.88 = 150,322.32/x
  3. Step 3: Cross multiply
    257,689.44x = 355,655.88 × 150,322.32
  4. Step 4: Simplify right side
    257,689.44x = 53,463,017,003.24
  5. Step 5: Solve for x
    x = 53,463,017,003.24/257,689.44
  6. Step 6: Final answer
    x = 207,470.73

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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.