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Finding the Fourth Proportional to 513,315.34, 769,716.03 and 158,283.23

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Solution

The fourth proportional to 513,315.34, 769,716.03 and 158,283.23 is: 237,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,315.34 : 769,716.03 = 158,283.23 : x
  2. Step 2: Convert to fraction form
    513,315.34/769,716.03 = 158,283.23/x
  3. Step 3: Cross multiply
    513,315.34x = 769,716.03 × 158,283.23
  4. Step 4: Simplify right side
    513,315.34x = 121,833,136,156.16
  5. Step 5: Solve for x
    x = 121,833,136,156.16/513,315.34
  6. Step 6: Final answer
    x = 237,345.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.