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Finding the Fourth Proportional to 346,461.75, 477,853.76 and 298,145.11

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Solution

The fourth proportional to 346,461.75, 477,853.76 and 298,145.11 is: 411,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,461.75 : 477,853.76 = 298,145.11 : x
  2. Step 2: Convert to fraction form
    346,461.75/477,853.76 = 298,145.11/x
  3. Step 3: Cross multiply
    346,461.75x = 477,853.76 × 298,145.11
  4. Step 4: Simplify right side
    346,461.75x = 142,469,760,348.39
  5. Step 5: Solve for x
    x = 142,469,760,348.39/346,461.75
  6. Step 6: Final answer
    x = 411,213.54

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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.