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Finding the Fourth Proportional to 468,816.80, 646,970.28 and 253,956.86

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Solution

The fourth proportional to 468,816.80, 646,970.28 and 253,956.86 is: 350,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,816.80 : 646,970.28 = 253,956.86 : x
  2. Step 2: Convert to fraction form
    468,816.80/646,970.28 = 253,956.86/x
  3. Step 3: Cross multiply
    468,816.80x = 646,970.28 × 253,956.86
  4. Step 4: Simplify right side
    468,816.80x = 164,302,540,822.12
  5. Step 5: Solve for x
    x = 164,302,540,822.12/468,816.80
  6. Step 6: Final answer
    x = 350,462.14

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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.