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Finding the Fourth Proportional to 589,323.11, 813,271.52 and 334,676.12

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Solution

The fourth proportional to 589,323.11, 813,271.52 and 334,676.12 is: 461,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,323.11 : 813,271.52 = 334,676.12 : x
  2. Step 2: Convert to fraction form
    589,323.11/813,271.52 = 334,676.12/x
  3. Step 3: Cross multiply
    589,323.11x = 813,271.52 × 334,676.12
  4. Step 4: Simplify right side
    589,323.11x = 272,182,553,590.44
  5. Step 5: Solve for x
    x = 272,182,553,590.44/589,323.11
  6. Step 6: Final answer
    x = 461,856.24

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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.