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Finding the Fourth Proportional to 304,740.90, 420,334.32 and 209,081.52

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Solution

The fourth proportional to 304,740.90, 420,334.32 and 209,081.52 is: 288,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,740.90 : 420,334.32 = 209,081.52 : x
  2. Step 2: Convert to fraction form
    304,740.90/420,334.32 = 209,081.52/x
  3. Step 3: Cross multiply
    304,740.90x = 420,334.32 × 209,081.52
  4. Step 4: Simplify right side
    304,740.90x = 87,884,138,533.77
  5. Step 5: Solve for x
    x = 87,884,138,533.77/304,740.90
  6. Step 6: Final answer
    x = 288,389.71

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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.