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Finding the Fourth Proportional to 296,798.40, 409,581 and 160,836.12

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Solution

The fourth proportional to 296,798.40, 409,581 and 160,836.12 is: 221,953.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,798.40 : 409,581 = 160,836.12 : x
  2. Step 2: Convert to fraction form
    296,798.40/409,581 = 160,836.12/x
  3. Step 3: Cross multiply
    296,798.40x = 409,581 × 160,836.12
  4. Step 4: Simplify right side
    296,798.40x = 65,875,418,865.72
  5. Step 5: Solve for x
    x = 65,875,418,865.72/296,798.40
  6. Step 6: Final answer
    x = 221,953.42

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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.