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Finding the Fourth Proportional to 711,905.16, 982,474.74 and 410,093.96

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Solution

The fourth proportional to 711,905.16, 982,474.74 and 410,093.96 is: 565,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,905.16 : 982,474.74 = 410,093.96 : x
  2. Step 2: Convert to fraction form
    711,905.16/982,474.74 = 410,093.96/x
  3. Step 3: Cross multiply
    711,905.16x = 982,474.74 × 410,093.96
  4. Step 4: Simplify right side
    711,905.16x = 402,906,956,726.57
  5. Step 5: Solve for x
    x = 402,906,956,726.57/711,905.16
  6. Step 6: Final answer
    x = 565,955.94

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1.5x scale

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.