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Finding the Fourth Proportional to 589,484.16, 813,488.00 and 321,212.16

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Solution

The fourth proportional to 589,484.16, 813,488.00 and 321,212.16 is: 443,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,484.16 : 813,488.00 = 321,212.16 : x
  2. Step 2: Convert to fraction form
    589,484.16/813,488.00 = 321,212.16/x
  3. Step 3: Cross multiply
    589,484.16x = 813,488.00 × 321,212.16
  4. Step 4: Simplify right side
    589,484.16x = 261,302,236,008.02
  5. Step 5: Solve for x
    x = 261,302,236,008.02/589,484.16
  6. Step 6: Final answer
    x = 443,272.70

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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.