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Finding the Fourth Proportional to 421,287.30, 630,946.80 and 412,830.90

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Solution

The fourth proportional to 421,287.30, 630,946.80 and 412,830.90 is: 618,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,287.30 : 630,946.80 = 412,830.90 : x
  2. Step 2: Convert to fraction form
    421,287.30/630,946.80 = 412,830.90/x
  3. Step 3: Cross multiply
    421,287.30x = 630,946.80 × 412,830.90
  4. Step 4: Simplify right side
    421,287.30x = 260,474,335,296.12
  5. Step 5: Solve for x
    x = 260,474,335,296.12/421,287.30
  6. Step 6: Final answer
    x = 618,281.95

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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.