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Finding the Fourth Proportional to 468,458.06, 646,471.38 and 253,598.06

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Solution

The fourth proportional to 468,458.06, 646,471.38 and 253,598.06 is: 349,964.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,458.06 : 646,471.38 = 253,598.06 : x
  2. Step 2: Convert to fraction form
    468,458.06/646,471.38 = 253,598.06/x
  3. Step 3: Cross multiply
    468,458.06x = 646,471.38 × 253,598.06
  4. Step 4: Simplify right side
    468,458.06x = 163,943,887,813.52
  5. Step 5: Solve for x
    x = 163,943,887,813.52/468,458.06
  6. Step 6: Final answer
    x = 349,964.92

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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.