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Finding the Fourth Proportional to 467,427.71, 646,139.94 and 416,940.82

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Solution

The fourth proportional to 467,427.71, 646,139.94 and 416,940.82 is: 576,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,427.71 : 646,139.94 = 416,940.82 : x
  2. Step 2: Convert to fraction form
    467,427.71/646,139.94 = 416,940.82/x
  3. Step 3: Cross multiply
    467,427.71x = 646,139.94 × 416,940.82
  4. Step 4: Simplify right side
    467,427.71x = 269,402,113,239.47
  5. Step 5: Solve for x
    x = 269,402,113,239.47/467,427.71
  6. Step 6: Final answer
    x = 576,350.32

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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.