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Finding the Fourth Proportional to 430,907.99, 646,361.28 and 430,284.69

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Solution

The fourth proportional to 430,907.99, 646,361.28 and 430,284.69 is: 645,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,907.99 : 646,361.28 = 430,284.69 : x
  2. Step 2: Convert to fraction form
    430,907.99/646,361.28 = 430,284.69/x
  3. Step 3: Cross multiply
    430,907.99x = 646,361.28 × 430,284.69
  4. Step 4: Simplify right side
    430,907.99x = 278,119,362,992.80
  5. Step 5: Solve for x
    x = 278,119,362,992.80/430,907.99
  6. Step 6: Final answer
    x = 645,426.34

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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.