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Finding the Fourth Proportional to 262,784.88, 362,643.48 and 149,607.63

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Solution

The fourth proportional to 262,784.88, 362,643.48 and 149,607.63 is: 206,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,784.88 : 362,643.48 = 149,607.63 : x
  2. Step 2: Convert to fraction form
    262,784.88/362,643.48 = 149,607.63/x
  3. Step 3: Cross multiply
    262,784.88x = 362,643.48 × 149,607.63
  4. Step 4: Simplify right side
    262,784.88x = 54,254,231,577.75
  5. Step 5: Solve for x
    x = 54,254,231,577.75/262,784.88
  6. Step 6: Final answer
    x = 206,458.73

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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.