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Finding the Fourth Proportional to 468,503.20, 646,534.20 and 253,643.14

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Solution

The fourth proportional to 468,503.20, 646,534.20 and 253,643.14 is: 350,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,503.20 : 646,534.20 = 253,643.14 : x
  2. Step 2: Convert to fraction form
    468,503.20/646,534.20 = 253,643.14/x
  3. Step 3: Cross multiply
    468,503.20x = 646,534.20 × 253,643.14
  4. Step 4: Simplify right side
    468,503.20x = 163,988,964,605.39
  5. Step 5: Solve for x
    x = 163,988,964,605.39/468,503.20
  6. Step 6: Final answer
    x = 350,027.42

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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.