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Finding the Fourth Proportional to 711,935, 982,226.01 and 405,790.55

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Solution

The fourth proportional to 711,935, 982,226.01 and 405,790.55 is: 559,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,935 : 982,226.01 = 405,790.55 : x
  2. Step 2: Convert to fraction form
    711,935/982,226.01 = 405,790.55/x
  3. Step 3: Cross multiply
    711,935x = 982,226.01 × 405,790.55
  4. Step 4: Simplify right side
    711,935x = 398,578,032,822.21
  5. Step 5: Solve for x
    x = 398,578,032,822.21/711,935
  6. Step 6: Final answer
    x = 559,851.72

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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.