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Finding the Fourth Proportional to 711,933, 982,223.25 and 405,788.55

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Solution

The fourth proportional to 711,933, 982,223.25 and 405,788.55 is: 559,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,933 : 982,223.25 = 405,788.55 : x
  2. Step 2: Convert to fraction form
    711,933/982,223.25 = 405,788.55/x
  3. Step 3: Cross multiply
    711,933x = 982,223.25 × 405,788.55
  4. Step 4: Simplify right side
    711,933x = 398,574,948,393.79
  5. Step 5: Solve for x
    x = 398,574,948,393.79/711,933
  6. Step 6: Final answer
    x = 559,848.96

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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.