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Finding the Fourth Proportional to 978,719.44, 1,468,650.72 and 410,051.96

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Solution

The fourth proportional to 978,719.44, 1,468,650.72 and 410,051.96 is: 615,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,719.44 : 1,468,650.72 = 410,051.96 : x
  2. Step 2: Convert to fraction form
    978,719.44/1,468,650.72 = 410,051.96/x
  3. Step 3: Cross multiply
    978,719.44x = 1,468,650.72 × 410,051.96
  4. Step 4: Simplify right side
    978,719.44x = 602,223,106,291.41
  5. Step 5: Solve for x
    x = 602,223,106,291.41/978,719.44
  6. Step 6: Final answer
    x = 615,317.41

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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.