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Finding the Fourth Proportional to 468,284.22, 646,233.36 and 253,425.84

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Solution

The fourth proportional to 468,284.22, 646,233.36 and 253,425.84 is: 349,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,284.22 : 646,233.36 = 253,425.84 : x
  2. Step 2: Convert to fraction form
    468,284.22/646,233.36 = 253,425.84/x
  3. Step 3: Cross multiply
    468,284.22x = 646,233.36 × 253,425.84
  4. Step 4: Simplify right side
    468,284.22x = 163,772,232,094.02
  5. Step 5: Solve for x
    x = 163,772,232,094.02/468,284.22
  6. Step 6: Final answer
    x = 349,728.27

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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.