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Finding the Fourth Proportional to 472,652.44, 707,313.28 and 295,243

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Solution

The fourth proportional to 472,652.44, 707,313.28 and 295,243 is: 441,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,652.44 : 707,313.28 = 295,243 : x
  2. Step 2: Convert to fraction form
    472,652.44/707,313.28 = 295,243/x
  3. Step 3: Cross multiply
    472,652.44x = 707,313.28 × 295,243
  4. Step 4: Simplify right side
    472,652.44x = 208,829,294,727.04
  5. Step 5: Solve for x
    x = 208,829,294,727.04/472,652.44
  6. Step 6: Final answer
    x = 441,824.22

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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.