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Finding the Fourth Proportional to 405,298.85, 559,312.96 and 233,213.39

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Solution

The fourth proportional to 405,298.85, 559,312.96 and 233,213.39 is: 321,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,298.85 : 559,312.96 = 233,213.39 : x
  2. Step 2: Convert to fraction form
    405,298.85/559,312.96 = 233,213.39/x
  3. Step 3: Cross multiply
    405,298.85x = 559,312.96 × 233,213.39
  4. Step 4: Simplify right side
    405,298.85x = 130,439,272,287.78
  5. Step 5: Solve for x
    x = 130,439,272,287.78/405,298.85
  6. Step 6: Final answer
    x = 321,834.79

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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.