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Finding the Fourth Proportional to 509,040.96, 702,398.30 and 294,139.32

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Solution

The fourth proportional to 509,040.96, 702,398.30 and 294,139.32 is: 405,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,040.96 : 702,398.30 = 294,139.32 : x
  2. Step 2: Convert to fraction form
    509,040.96/702,398.30 = 294,139.32/x
  3. Step 3: Cross multiply
    509,040.96x = 702,398.30 × 294,139.32
  4. Step 4: Simplify right side
    509,040.96x = 206,602,956,860.46
  5. Step 5: Solve for x
    x = 206,602,956,860.46/509,040.96
  6. Step 6: Final answer
    x = 405,867.06

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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.