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Finding the Fourth Proportional to 613,507.18, 920,149.96 and 214,262.13

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Solution

The fourth proportional to 613,507.18, 920,149.96 and 214,262.13 is: 321,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,507.18 : 920,149.96 = 214,262.13 : x
  2. Step 2: Convert to fraction form
    613,507.18/920,149.96 = 214,262.13/x
  3. Step 3: Cross multiply
    613,507.18x = 920,149.96 × 214,262.13
  4. Step 4: Simplify right side
    613,507.18x = 197,153,290,349.02
  5. Step 5: Solve for x
    x = 197,153,290,349.02/613,507.18
  6. Step 6: Final answer
    x = 321,354.50

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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.