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Finding the Fourth Proportional to 523,476.24, 783,664.26 and 323,152.56

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Solution

The fourth proportional to 523,476.24, 783,664.26 and 323,152.56 is: 483,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,476.24 : 783,664.26 = 323,152.56 : x
  2. Step 2: Convert to fraction form
    523,476.24/783,664.26 = 323,152.56/x
  3. Step 3: Cross multiply
    523,476.24x = 783,664.26 × 323,152.56
  4. Step 4: Simplify right side
    523,476.24x = 253,243,111,799.51
  5. Step 5: Solve for x
    x = 253,243,111,799.51/523,476.24
  6. Step 6: Final answer
    x = 483,771.93

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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.