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Finding the Fourth Proportional to 314,457.69, 434,082.02 and 237,998.13

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Solution

The fourth proportional to 314,457.69, 434,082.02 and 237,998.13 is: 328,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,457.69 : 434,082.02 = 237,998.13 : x
  2. Step 2: Convert to fraction form
    314,457.69/434,082.02 = 237,998.13/x
  3. Step 3: Cross multiply
    314,457.69x = 434,082.02 × 237,998.13
  4. Step 4: Simplify right side
    314,457.69x = 103,310,709,026.62
  5. Step 5: Solve for x
    x = 103,310,709,026.62/314,457.69
  6. Step 6: Final answer
    x = 328,536.12

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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.