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Finding the Fourth Proportional to 509,388.20, 702,914.54 and 294,542.18

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Solution

The fourth proportional to 509,388.20, 702,914.54 and 294,542.18 is: 406,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,388.20 : 702,914.54 = 294,542.18 : x
  2. Step 2: Convert to fraction form
    509,388.20/702,914.54 = 294,542.18/x
  3. Step 3: Cross multiply
    509,388.20x = 702,914.54 × 294,542.18
  4. Step 4: Simplify right side
    509,388.20x = 207,037,980,965.30
  5. Step 5: Solve for x
    x = 207,037,980,965.30/509,388.20
  6. Step 6: Final answer
    x = 406,444.40

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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.