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Finding the Fourth Proportional to 467,574.47, 644,822.27 and 295,192.96

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Solution

The fourth proportional to 467,574.47, 644,822.27 and 295,192.96 is: 407,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,574.47 : 644,822.27 = 295,192.96 : x
  2. Step 2: Convert to fraction form
    467,574.47/644,822.27 = 295,192.96/x
  3. Step 3: Cross multiply
    467,574.47x = 644,822.27 × 295,192.96
  4. Step 4: Simplify right side
    467,574.47x = 190,346,992,574.17
  5. Step 5: Solve for x
    x = 190,346,992,574.17/467,574.47
  6. Step 6: Final answer
    x = 407,094.49

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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.