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Finding the Fourth Proportional to 262,715.94, 362,407.86 and 160,790.78

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Solution

The fourth proportional to 262,715.94, 362,407.86 and 160,790.78 is: 221,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,715.94 : 362,407.86 = 160,790.78 : x
  2. Step 2: Convert to fraction form
    262,715.94/362,407.86 = 160,790.78/x
  3. Step 3: Cross multiply
    262,715.94x = 362,407.86 × 160,790.78
  4. Step 4: Simplify right side
    262,715.94x = 58,271,842,487.53
  5. Step 5: Solve for x
    x = 58,271,842,487.53/262,715.94
  6. Step 6: Final answer
    x = 221,805.51

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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.