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Finding the Fourth Proportional to 651,964.80, 978,238.80 and 314,875.20

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Solution

The fourth proportional to 651,964.80, 978,238.80 and 314,875.20 is: 472,453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,964.80 : 978,238.80 = 314,875.20 : x
  2. Step 2: Convert to fraction form
    651,964.80/978,238.80 = 314,875.20/x
  3. Step 3: Cross multiply
    651,964.80x = 978,238.80 × 314,875.20
  4. Step 4: Simplify right side
    651,964.80x = 308,023,137,797.76
  5. Step 5: Solve for x
    x = 308,023,137,797.76/651,964.80
  6. Step 6: Final answer
    x = 472,453.63

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Why These Related Problems?

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