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Finding the Fourth Proportional to 468,716.42, 646,825.02 and 253,851.50

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Solution

The fourth proportional to 468,716.42, 646,825.02 and 253,851.50 is: 350,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.42 : 646,825.02 = 253,851.50 : x
  2. Step 2: Convert to fraction form
    468,716.42/646,825.02 = 253,851.50/x
  3. Step 3: Cross multiply
    468,716.42x = 646,825.02 × 253,851.50
  4. Step 4: Simplify right side
    468,716.42x = 164,197,501,564.53
  5. Step 5: Solve for x
    x = 164,197,501,564.53/468,716.42
  6. Step 6: Final answer
    x = 350,313.10

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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.