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Finding the Fourth Proportional to 613,462.50, 920,277.59 and 214,044.62

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Solution

The fourth proportional to 613,462.50, 920,277.59 and 214,044.62 is: 321,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,462.50 : 920,277.59 = 214,044.62 : x
  2. Step 2: Convert to fraction form
    613,462.50/920,277.59 = 214,044.62/x
  3. Step 3: Cross multiply
    613,462.50x = 920,277.59 × 214,044.62
  4. Step 4: Simplify right side
    613,462.50x = 196,980,461,374.46
  5. Step 5: Solve for x
    x = 196,980,461,374.46/613,462.50
  6. Step 6: Final answer
    x = 321,096.17

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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.