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Finding the Fourth Proportional to 468,673.08, 646,765.43 and 253,808.16

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Solution

The fourth proportional to 468,673.08, 646,765.43 and 253,808.16 is: 350,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,673.08 : 646,765.43 = 253,808.16 : x
  2. Step 2: Convert to fraction form
    468,673.08/646,765.43 = 253,808.16/x
  3. Step 3: Cross multiply
    468,673.08x = 646,765.43 × 253,808.16
  4. Step 4: Simplify right side
    468,673.08x = 164,154,342,470.87
  5. Step 5: Solve for x
    x = 164,154,342,470.87/468,673.08
  6. Step 6: Final answer
    x = 350,253.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.