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Finding the Fourth Proportional to 322,402.96, 483,978.08 and 172,935.16

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Solution

The fourth proportional to 322,402.96, 483,978.08 and 172,935.16 is: 259,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,402.96 : 483,978.08 = 172,935.16 : x
  2. Step 2: Convert to fraction form
    322,402.96/483,978.08 = 172,935.16/x
  3. Step 3: Cross multiply
    322,402.96x = 483,978.08 × 172,935.16
  4. Step 4: Simplify right side
    322,402.96x = 83,696,826,701.29
  5. Step 5: Solve for x
    x = 83,696,826,701.29/322,402.96
  6. Step 6: Final answer
    x = 259,603.16

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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.