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Finding the Fourth Proportional to 589,698.28, 813,783.86 and 335,049.80

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Solution

The fourth proportional to 589,698.28, 813,783.86 and 335,049.80 is: 462,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,698.28 : 813,783.86 = 335,049.80 : x
  2. Step 2: Convert to fraction form
    589,698.28/813,783.86 = 335,049.80/x
  3. Step 3: Cross multiply
    589,698.28x = 813,783.86 × 335,049.80
  4. Step 4: Simplify right side
    589,698.28x = 272,658,119,536.23
  5. Step 5: Solve for x
    x = 272,658,119,536.23/589,698.28
  6. Step 6: Final answer
    x = 462,368.86

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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.