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Finding the Fourth Proportional to 468,716.51, 646,825.57 and 253,851.66

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Solution

The fourth proportional to 468,716.51, 646,825.57 and 253,851.66 is: 350,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.51 : 646,825.57 = 253,851.66 : x
  2. Step 2: Convert to fraction form
    468,716.51/646,825.57 = 253,851.66/x
  3. Step 3: Cross multiply
    468,716.51x = 646,825.57 × 253,851.66
  4. Step 4: Simplify right side
    468,716.51x = 164,197,744,040.32
  5. Step 5: Solve for x
    x = 164,197,744,040.32/468,716.51
  6. Step 6: Final answer
    x = 350,313.55

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1.5x scale

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.