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Finding the Fourth Proportional to 559,344.96, 771,892.08 and 304,696.14

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Solution

The fourth proportional to 559,344.96, 771,892.08 and 304,696.14 is: 420,478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,344.96 : 771,892.08 = 304,696.14 : x
  2. Step 2: Convert to fraction form
    559,344.96/771,892.08 = 304,696.14/x
  3. Step 3: Cross multiply
    559,344.96x = 771,892.08 × 304,696.14
  4. Step 4: Simplify right side
    559,344.96x = 235,192,537,272.57
  5. Step 5: Solve for x
    x = 235,192,537,272.57/559,344.96
  6. Step 6: Final answer
    x = 420,478.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.