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Finding the Fourth Proportional to 405,539.12, 559,457.97 and 262,345.34

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Solution

The fourth proportional to 405,539.12, 559,457.97 and 262,345.34 is: 361,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,539.12 : 559,457.97 = 262,345.34 : x
  2. Step 2: Convert to fraction form
    405,539.12/559,457.97 = 262,345.34/x
  3. Step 3: Cross multiply
    405,539.12x = 559,457.97 × 262,345.34
  4. Step 4: Simplify right side
    405,539.12x = 146,771,191,355.36
  5. Step 5: Solve for x
    x = 146,771,191,355.36/405,539.12
  6. Step 6: Final answer
    x = 361,916.23

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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.