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Finding the Fourth Proportional to 441,322.40, 661,802.16 and 175,046.24

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Solution

The fourth proportional to 441,322.40, 661,802.16 and 175,046.24 is: 262,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,322.40 : 661,802.16 = 175,046.24 : x
  2. Step 2: Convert to fraction form
    441,322.40/661,802.16 = 175,046.24/x
  3. Step 3: Cross multiply
    441,322.40x = 661,802.16 × 175,046.24
  4. Step 4: Simplify right side
    441,322.40x = 115,845,979,731.88
  5. Step 5: Solve for x
    x = 115,845,979,731.88/441,322.40
  6. Step 6: Final answer
    x = 262,497.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.