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Finding the Fourth Proportional to 468,461.14, 646,476.23 and 253,601.05

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Solution

The fourth proportional to 468,461.14, 646,476.23 and 253,601.05 is: 349,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.14 : 646,476.23 = 253,601.05 : x
  2. Step 2: Convert to fraction form
    468,461.14/646,476.23 = 253,601.05/x
  3. Step 3: Cross multiply
    468,461.14x = 646,476.23 × 253,601.05
  4. Step 4: Simplify right side
    468,461.14x = 163,947,046,227.66
  5. Step 5: Solve for x
    x = 163,947,046,227.66/468,461.14
  6. Step 6: Final answer
    x = 349,969.37

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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.