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Finding the Fourth Proportional to 322,254.14, 483,405.82 and 97,633.18

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Solution

The fourth proportional to 322,254.14, 483,405.82 and 97,633.18 is: 146,457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,254.14 : 483,405.82 = 97,633.18 : x
  2. Step 2: Convert to fraction form
    322,254.14/483,405.82 = 97,633.18/x
  3. Step 3: Cross multiply
    322,254.14x = 483,405.82 × 97,633.18
  4. Step 4: Simplify right side
    322,254.14x = 47,196,447,797.28
  5. Step 5: Solve for x
    x = 47,196,447,797.28/322,254.14
  6. Step 6: Final answer
    x = 146,457.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.