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Finding the Fourth Proportional to 978,048.10, 1,467,072.15 and 417,139.30

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Solution

The fourth proportional to 978,048.10, 1,467,072.15 and 417,139.30 is: 625,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048.10 : 1,467,072.15 = 417,139.30 : x
  2. Step 2: Convert to fraction form
    978,048.10/1,467,072.15 = 417,139.30/x
  3. Step 3: Cross multiply
    978,048.10x = 1,467,072.15 × 417,139.30
  4. Step 4: Simplify right side
    978,048.10x = 611,973,449,700.50
  5. Step 5: Solve for x
    x = 611,973,449,700.50/978,048.10
  6. Step 6: Final answer
    x = 625,708.95

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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.