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Finding the Fourth Proportional to 338,544.15, 507,823.51 and 161,069.10

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Solution

The fourth proportional to 338,544.15, 507,823.51 and 161,069.10 is: 241,607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,544.15 : 507,823.51 = 161,069.10 : x
  2. Step 2: Convert to fraction form
    338,544.15/507,823.51 = 161,069.10/x
  3. Step 3: Cross multiply
    338,544.15x = 507,823.51 × 161,069.10
  4. Step 4: Simplify right side
    338,544.15x = 81,794,675,714.54
  5. Step 5: Solve for x
    x = 81,794,675,714.54/338,544.15
  6. Step 6: Final answer
    x = 241,607.12

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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.