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Finding the Fourth Proportional to 509,089.58, 702,385.59 and 294,151.22

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Solution

The fourth proportional to 509,089.58, 702,385.59 and 294,151.22 is: 405,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,089.58 : 702,385.59 = 294,151.22 : x
  2. Step 2: Convert to fraction form
    509,089.58/702,385.59 = 294,151.22/x
  3. Step 3: Cross multiply
    509,089.58x = 702,385.59 × 294,151.22
  4. Step 4: Simplify right side
    509,089.58x = 206,607,578,208.92
  5. Step 5: Solve for x
    x = 206,607,578,208.92/509,089.58
  6. Step 6: Final answer
    x = 405,837.37

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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.