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Finding the Fourth Proportional to 978,055.56, 1,467,326.34 and 347,033.16

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Solution

The fourth proportional to 978,055.56, 1,467,326.34 and 347,033.16 is: 520,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,055.56 : 1,467,326.34 = 347,033.16 : x
  2. Step 2: Convert to fraction form
    978,055.56/1,467,326.34 = 347,033.16/x
  3. Step 3: Cross multiply
    978,055.56x = 1,467,326.34 × 347,033.16
  4. Step 4: Simplify right side
    978,055.56x = 509,210,896,521.43
  5. Step 5: Solve for x
    x = 509,210,896,521.43/978,055.56
  6. Step 6: Final answer
    x = 520,635.96

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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.