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Finding the Fourth Proportional to 471,613.42, 651,258.80 and 299,586.83

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Solution

The fourth proportional to 471,613.42, 651,258.80 and 299,586.83 is: 413,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,613.42 : 651,258.80 = 299,586.83 : x
  2. Step 2: Convert to fraction form
    471,613.42/651,258.80 = 299,586.83/x
  3. Step 3: Cross multiply
    471,613.42x = 651,258.80 × 299,586.83
  4. Step 4: Simplify right side
    471,613.42x = 195,108,559,401.60
  5. Step 5: Solve for x
    x = 195,108,559,401.60/471,613.42
  6. Step 6: Final answer
    x = 413,704.43

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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.