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Finding the Fourth Proportional to 542,834.10, 749,096.58 and 313,383.65

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Solution

The fourth proportional to 542,834.10, 749,096.58 and 313,383.65 is: 432,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,834.10 : 749,096.58 = 313,383.65 : x
  2. Step 2: Convert to fraction form
    542,834.10/749,096.58 = 313,383.65/x
  3. Step 3: Cross multiply
    542,834.10x = 749,096.58 × 313,383.65
  4. Step 4: Simplify right side
    542,834.10x = 234,754,616,697.43
  5. Step 5: Solve for x
    x = 234,754,616,697.43/542,834.10
  6. Step 6: Final answer
    x = 432,461.07

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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.