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Finding the Fourth Proportional to 461,336.20, 692,004.30 and 420,001.90

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Solution

The fourth proportional to 461,336.20, 692,004.30 and 420,001.90 is: 630,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,336.20 : 692,004.30 = 420,001.90 : x
  2. Step 2: Convert to fraction form
    461,336.20/692,004.30 = 420,001.90/x
  3. Step 3: Cross multiply
    461,336.20x = 692,004.30 × 420,001.90
  4. Step 4: Simplify right side
    461,336.20x = 290,643,120,808.17
  5. Step 5: Solve for x
    x = 290,643,120,808.17/461,336.20
  6. Step 6: Final answer
    x = 630,002.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.