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Finding the Fourth Proportional to 210,304.49, 315,457.41 and 52,532.94

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Solution

The fourth proportional to 210,304.49, 315,457.41 and 52,532.94 is: 78,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,304.49 : 315,457.41 = 52,532.94 : x
  2. Step 2: Convert to fraction form
    210,304.49/315,457.41 = 52,532.94/x
  3. Step 3: Cross multiply
    210,304.49x = 315,457.41 × 52,532.94
  4. Step 4: Simplify right side
    210,304.49x = 16,571,905,192.09
  5. Step 5: Solve for x
    x = 16,571,905,192.09/210,304.49
  6. Step 6: Final answer
    x = 78,799.58

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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.