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Finding the Fourth Proportional to 468,526.25, 646,516.61 and 264,564.81

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Solution

The fourth proportional to 468,526.25, 646,516.61 and 264,564.81 is: 365,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,526.25 : 646,516.61 = 264,564.81 : x
  2. Step 2: Convert to fraction form
    468,526.25/646,516.61 = 264,564.81/x
  3. Step 3: Cross multiply
    468,526.25x = 646,516.61 × 264,564.81
  4. Step 4: Simplify right side
    468,526.25x = 171,045,544,086.49
  5. Step 5: Solve for x
    x = 171,045,544,086.49/468,526.25
  6. Step 6: Final answer
    x = 365,071.42

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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.