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Finding the Fourth Proportional to 316,243.30, 436,545.60 and 214,408.24

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Solution

The fourth proportional to 316,243.30, 436,545.60 and 214,408.24 is: 295,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,243.30 : 436,545.60 = 214,408.24 : x
  2. Step 2: Convert to fraction form
    316,243.30/436,545.60 = 214,408.24/x
  3. Step 3: Cross multiply
    316,243.30x = 436,545.60 × 214,408.24
  4. Step 4: Simplify right side
    316,243.30x = 93,598,973,775.74
  5. Step 5: Solve for x
    x = 93,598,973,775.74/316,243.30
  6. Step 6: Final answer
    x = 295,971.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.