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Finding the Fourth Proportional to 505,543.07, 697,329.05 and 384,418.80

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Solution

The fourth proportional to 505,543.07, 697,329.05 and 384,418.80 is: 530,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,543.07 : 697,329.05 = 384,418.80 : x
  2. Step 2: Convert to fraction form
    505,543.07/697,329.05 = 384,418.80/x
  3. Step 3: Cross multiply
    505,543.07x = 697,329.05 × 384,418.80
  4. Step 4: Simplify right side
    505,543.07x = 268,066,394,684.05
  5. Step 5: Solve for x
    x = 268,066,394,684.05/505,543.07
  6. Step 6: Final answer
    x = 530,254.31

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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.