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Finding the Fourth Proportional to 262,709.42, 362,398.91 and 160,784.28

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Solution

The fourth proportional to 262,709.42, 362,398.91 and 160,784.28 is: 221,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,709.42 : 362,398.91 = 160,784.28 : x
  2. Step 2: Convert to fraction form
    262,709.42/362,398.91 = 160,784.28/x
  3. Step 3: Cross multiply
    262,709.42x = 362,398.91 × 160,784.28
  4. Step 4: Simplify right side
    262,709.42x = 58,268,047,013.21
  5. Step 5: Solve for x
    x = 58,268,047,013.21/262,709.42
  6. Step 6: Final answer
    x = 221,796.57

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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.