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Finding the Fourth Proportional to 405,477.92, 559,543.20 and 235,698.68

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Solution

The fourth proportional to 405,477.92, 559,543.20 and 235,698.68 is: 325,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,477.92 : 559,543.20 = 235,698.68 : x
  2. Step 2: Convert to fraction form
    405,477.92/559,543.20 = 235,698.68/x
  3. Step 3: Cross multiply
    405,477.92x = 559,543.20 × 235,698.68
  4. Step 4: Simplify right side
    405,477.92x = 131,883,593,642.98
  5. Step 5: Solve for x
    x = 131,883,593,642.98/405,477.92
  6. Step 6: Final answer
    x = 325,254.69

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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.