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Finding the Fourth Proportional to 468,642.63, 646,727.18 and 253,782.93

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Solution

The fourth proportional to 468,642.63, 646,727.18 and 253,782.93 is: 350,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,642.63 : 646,727.18 = 253,782.93 : x
  2. Step 2: Convert to fraction form
    468,642.63/646,727.18 = 253,782.93/x
  3. Step 3: Cross multiply
    468,642.63x = 646,727.18 × 253,782.93
  4. Step 4: Simplify right side
    468,642.63x = 164,128,318,651.04
  5. Step 5: Solve for x
    x = 164,128,318,651.04/468,642.63
  6. Step 6: Final answer
    x = 350,220.63

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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.