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Finding the Fourth Proportional to 412,953.34, 569,866.64 and 231,661.98

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Solution

The fourth proportional to 412,953.34, 569,866.64 and 231,661.98 is: 319,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,953.34 : 569,866.64 = 231,661.98 : x
  2. Step 2: Convert to fraction form
    412,953.34/569,866.64 = 231,661.98/x
  3. Step 3: Cross multiply
    412,953.34x = 569,866.64 × 231,661.98
  4. Step 4: Simplify right side
    412,953.34x = 132,016,434,158.35
  5. Step 5: Solve for x
    x = 132,016,434,158.35/412,953.34
  6. Step 6: Final answer
    x = 319,688.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.