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Finding the Fourth Proportional to 471,594.72, 650,885.28 and 301,823.04

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Solution

The fourth proportional to 471,594.72, 650,885.28 and 301,823.04 is: 416,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,594.72 : 650,885.28 = 301,823.04 : x
  2. Step 2: Convert to fraction form
    471,594.72/650,885.28 = 301,823.04/x
  3. Step 3: Cross multiply
    471,594.72x = 650,885.28 × 301,823.04
  4. Step 4: Simplify right side
    471,594.72x = 196,452,173,900.85
  5. Step 5: Solve for x
    x = 196,452,173,900.85/471,594.72
  6. Step 6: Final answer
    x = 416,569.92

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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.