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Finding the Fourth Proportional to 468,678.34, 646,772.66 and 253,813.42

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Solution

The fourth proportional to 468,678.34, 646,772.66 and 253,813.42 is: 350,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,678.34 : 646,772.66 = 253,813.42 : x
  2. Step 2: Convert to fraction form
    468,678.34/646,772.66 = 253,813.42/x
  3. Step 3: Cross multiply
    468,678.34x = 646,772.66 × 253,813.42
  4. Step 4: Simplify right side
    468,678.34x = 164,159,580,797.10
  5. Step 5: Solve for x
    x = 164,159,580,797.10/468,678.34
  6. Step 6: Final answer
    x = 350,260.65

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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.