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Finding the Fourth Proportional to 309,014.14, 463,404.54 and 142,685.50

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Solution

The fourth proportional to 309,014.14, 463,404.54 and 142,685.50 is: 213,974.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,014.14 : 463,404.54 = 142,685.50 : x
  2. Step 2: Convert to fraction form
    309,014.14/463,404.54 = 142,685.50/x
  3. Step 3: Cross multiply
    309,014.14x = 463,404.54 × 142,685.50
  4. Step 4: Simplify right side
    309,014.14x = 66,121,108,492.17
  5. Step 5: Solve for x
    x = 66,121,108,492.17/309,014.14
  6. Step 6: Final answer
    x = 213,974.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.