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Finding the Fourth Proportional to 302,401, 452,494.23 and 286,179.13

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Solution

The fourth proportional to 302,401, 452,494.23 and 286,179.13 is: 428,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,401 : 452,494.23 = 286,179.13 : x
  2. Step 2: Convert to fraction form
    302,401/452,494.23 = 286,179.13/x
  3. Step 3: Cross multiply
    302,401x = 452,494.23 × 286,179.13
  4. Step 4: Simplify right side
    302,401x = 129,494,405,071.42
  5. Step 5: Solve for x
    x = 129,494,405,071.42/302,401
  6. Step 6: Final answer
    x = 428,220.82

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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.