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Finding the Fourth Proportional to 367,915.34, 507,609.04 and 214,843.10

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Solution

The fourth proportional to 367,915.34, 507,609.04 and 214,843.10 is: 296,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,915.34 : 507,609.04 = 214,843.10 : x
  2. Step 2: Convert to fraction form
    367,915.34/507,609.04 = 214,843.10/x
  3. Step 3: Cross multiply
    367,915.34x = 507,609.04 × 214,843.10
  4. Step 4: Simplify right side
    367,915.34x = 109,056,299,741.62
  5. Step 5: Solve for x
    x = 109,056,299,741.62/367,915.34
  6. Step 6: Final answer
    x = 296,416.83

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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.