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Finding the Fourth Proportional to 711,800.16, 982,375.20 and 409,994.16

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Solution

The fourth proportional to 711,800.16, 982,375.20 and 409,994.16 is: 565,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,800.16 : 982,375.20 = 409,994.16 : x
  2. Step 2: Convert to fraction form
    711,800.16/982,375.20 = 409,994.16/x
  3. Step 3: Cross multiply
    711,800.16x = 982,375.20 × 409,994.16
  4. Step 4: Simplify right side
    711,800.16x = 402,768,094,928.83
  5. Step 5: Solve for x
    x = 402,768,094,928.83/711,800.16
  6. Step 6: Final answer
    x = 565,844.34

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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.