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Finding the Fourth Proportional to 468,530.75, 646,522.80 and 264,569.33

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Solution

The fourth proportional to 468,530.75, 646,522.80 and 264,569.33 is: 365,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,530.75 : 646,522.80 = 264,569.33 : x
  2. Step 2: Convert to fraction form
    468,530.75/646,522.80 = 264,569.33/x
  3. Step 3: Cross multiply
    468,530.75x = 646,522.80 × 264,569.33
  4. Step 4: Simplify right side
    468,530.75x = 171,050,104,025.72
  5. Step 5: Solve for x
    x = 171,050,104,025.72/468,530.75
  6. Step 6: Final answer
    x = 365,077.65

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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.