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Finding the Fourth Proportional to 978,718.44, 1,468,649.22 and 410,050.96

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Solution

The fourth proportional to 978,718.44, 1,468,649.22 and 410,050.96 is: 615,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,718.44 : 1,468,649.22 = 410,050.96 : x
  2. Step 2: Convert to fraction form
    978,718.44/1,468,649.22 = 410,050.96/x
  3. Step 3: Cross multiply
    978,718.44x = 1,468,649.22 × 410,050.96
  4. Step 4: Simplify right side
    978,718.44x = 602,221,019,661.47
  5. Step 5: Solve for x
    x = 602,221,019,661.47/978,718.44
  6. Step 6: Final answer
    x = 615,315.90

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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.