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Finding the Fourth Proportional to 316,126.86, 473,705.50 and 214,795.86

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Solution

The fourth proportional to 316,126.86, 473,705.50 and 214,795.86 is: 321,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,126.86 : 473,705.50 = 214,795.86 : x
  2. Step 2: Convert to fraction form
    316,126.86/473,705.50 = 214,795.86/x
  3. Step 3: Cross multiply
    316,126.86x = 473,705.50 × 214,795.86
  4. Step 4: Simplify right side
    316,126.86x = 101,749,976,816.72
  5. Step 5: Solve for x
    x = 101,749,976,816.72/316,126.86
  6. Step 6: Final answer
    x = 321,864.39

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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.