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Finding the Fourth Proportional to 472,646.44, 707,304.30 and 295,237

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Solution

The fourth proportional to 472,646.44, 707,304.30 and 295,237 is: 441,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,646.44 : 707,304.30 = 295,237 : x
  2. Step 2: Convert to fraction form
    472,646.44/707,304.30 = 295,237/x
  3. Step 3: Cross multiply
    472,646.44x = 707,304.30 × 295,237
  4. Step 4: Simplify right side
    472,646.44x = 208,822,399,619.10
  5. Step 5: Solve for x
    x = 208,822,399,619.10/472,646.44
  6. Step 6: Final answer
    x = 441,815.24

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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.