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Finding the Fourth Proportional to 514,014.30, 709,775.19 and 323,089.20

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Solution

The fourth proportional to 514,014.30, 709,775.19 and 323,089.20 is: 446,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,014.30 : 709,775.19 = 323,089.20 : x
  2. Step 2: Convert to fraction form
    514,014.30/709,775.19 = 323,089.20/x
  3. Step 3: Cross multiply
    514,014.30x = 709,775.19 × 323,089.20
  4. Step 4: Simplify right side
    514,014.30x = 229,320,698,316.95
  5. Step 5: Solve for x
    x = 229,320,698,316.95/514,014.30
  6. Step 6: Final answer
    x = 446,136.81

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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.