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Finding the Fourth Proportional to 589,429.50, 813,412.71 and 321,157.50

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Solution

The fourth proportional to 589,429.50, 813,412.71 and 321,157.50 is: 443,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,429.50 : 813,412.71 = 321,157.50 : x
  2. Step 2: Convert to fraction form
    589,429.50/813,412.71 = 321,157.50/x
  3. Step 3: Cross multiply
    589,429.50x = 813,412.71 × 321,157.50
  4. Step 4: Simplify right side
    589,429.50x = 261,233,592,411.83
  5. Step 5: Solve for x
    x = 261,233,592,411.83/589,429.50
  6. Step 6: Final answer
    x = 443,197.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.