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Finding the Fourth Proportional to 978,264.33, 1,467,497.15 and 338,566.94

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Solution

The fourth proportional to 978,264.33, 1,467,497.15 and 338,566.94 is: 507,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,264.33 : 1,467,497.15 = 338,566.94 : x
  2. Step 2: Convert to fraction form
    978,264.33/1,467,497.15 = 338,566.94/x
  3. Step 3: Cross multiply
    978,264.33x = 1,467,497.15 × 338,566.94
  4. Step 4: Simplify right side
    978,264.33x = 496,846,019,534.22
  5. Step 5: Solve for x
    x = 496,846,019,534.22/978,264.33
  6. Step 6: Final answer
    x = 507,885.25

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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.