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Finding the Fourth Proportional to 711,596.38, 982,046.55 and 409,887.58

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Solution

The fourth proportional to 711,596.38, 982,046.55 and 409,887.58 is: 565,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,596.38 : 982,046.55 = 409,887.58 : x
  2. Step 2: Convert to fraction form
    711,596.38/982,046.55 = 409,887.58/x
  3. Step 3: Cross multiply
    711,596.38x = 982,046.55 × 409,887.58
  4. Step 4: Simplify right side
    711,596.38x = 402,528,683,826.85
  5. Step 5: Solve for x
    x = 402,528,683,826.85/711,596.38
  6. Step 6: Final answer
    x = 565,669.94

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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.