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Finding the Fourth Proportional to 468,816.30, 646,969.59 and 253,956.36

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Solution

The fourth proportional to 468,816.30, 646,969.59 and 253,956.36 is: 350,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,816.30 : 646,969.59 = 253,956.36 : x
  2. Step 2: Convert to fraction form
    468,816.30/646,969.59 = 253,956.36/x
  3. Step 3: Cross multiply
    468,816.30x = 646,969.59 × 253,956.36
  4. Step 4: Simplify right side
    468,816.30x = 164,302,042,107.09
  5. Step 5: Solve for x
    x = 164,302,042,107.09/468,816.30
  6. Step 6: Final answer
    x = 350,461.45

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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.