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Finding the Fourth Proportional to 509,189.10, 702,703.18 and 282,834.60

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Solution

The fourth proportional to 509,189.10, 702,703.18 and 282,834.60 is: 390,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,189.10 : 702,703.18 = 282,834.60 : x
  2. Step 2: Convert to fraction form
    509,189.10/702,703.18 = 282,834.60/x
  3. Step 3: Cross multiply
    509,189.10x = 702,703.18 × 282,834.60
  4. Step 4: Simplify right side
    509,189.10x = 198,748,772,834.03
  5. Step 5: Solve for x
    x = 198,748,772,834.03/509,189.10
  6. Step 6: Final answer
    x = 390,324.09

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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.