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Finding the Fourth Proportional to 419,109.09, 578,354.47 and 237,810.20

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Solution

The fourth proportional to 419,109.09, 578,354.47 and 237,810.20 is: 328,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,109.09 : 578,354.47 = 237,810.20 : x
  2. Step 2: Convert to fraction form
    419,109.09/578,354.47 = 237,810.20/x
  3. Step 3: Cross multiply
    419,109.09x = 578,354.47 × 237,810.20
  4. Step 4: Simplify right side
    419,109.09x = 137,538,593,240.74
  5. Step 5: Solve for x
    x = 137,538,593,240.74/419,109.09
  6. Step 6: Final answer
    x = 328,168.96

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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.