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Finding the Fourth Proportional to 434,196.96, 650,447.64 and 299,236.92

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Solution

The fourth proportional to 434,196.96, 650,447.64 and 299,236.92 is: 448,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,196.96 : 650,447.64 = 299,236.92 : x
  2. Step 2: Convert to fraction form
    434,196.96/650,447.64 = 299,236.92/x
  3. Step 3: Cross multiply
    434,196.96x = 650,447.64 × 299,236.92
  4. Step 4: Simplify right side
    434,196.96x = 194,637,948,414.87
  5. Step 5: Solve for x
    x = 194,637,948,414.87/434,196.96
  6. Step 6: Final answer
    x = 448,271.10

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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.