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Finding the Fourth Proportional to 309,032.40, 463,433.40 and 122,005.20

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Solution

The fourth proportional to 309,032.40, 463,433.40 and 122,005.20 is: 182,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,032.40 : 463,433.40 = 122,005.20 : x
  2. Step 2: Convert to fraction form
    309,032.40/463,433.40 = 122,005.20/x
  3. Step 3: Cross multiply
    309,032.40x = 463,433.40 × 122,005.20
  4. Step 4: Simplify right side
    309,032.40x = 56,541,284,653.68
  5. Step 5: Solve for x
    x = 56,541,284,653.68/309,032.40
  6. Step 6: Final answer
    x = 182,962.32

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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.