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Finding the Fourth Proportional to 589,509.02, 813,478.74 and 334,811

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Solution

The fourth proportional to 589,509.02, 813,478.74 and 334,811 is: 462,014.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,509.02 : 813,478.74 = 334,811 : x
  2. Step 2: Convert to fraction form
    589,509.02/813,478.74 = 334,811/x
  3. Step 3: Cross multiply
    589,509.02x = 813,478.74 × 334,811
  4. Step 4: Simplify right side
    589,509.02x = 272,361,630,418.14
  5. Step 5: Solve for x
    x = 272,361,630,418.14/589,509.02
  6. Step 6: Final answer
    x = 462,014.36

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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.