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Finding the Fourth Proportional to 325,492.29, 488,214.13 and 100,854.45

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Solution

The fourth proportional to 325,492.29, 488,214.13 and 100,854.45 is: 151,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,492.29 : 488,214.13 = 100,854.45 : x
  2. Step 2: Convert to fraction form
    325,492.29/488,214.13 = 100,854.45/x
  3. Step 3: Cross multiply
    325,492.29x = 488,214.13 × 100,854.45
  4. Step 4: Simplify right side
    325,492.29x = 49,238,567,563.38
  5. Step 5: Solve for x
    x = 49,238,567,563.38/325,492.29
  6. Step 6: Final answer
    x = 151,274.14

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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.