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Finding the Fourth Proportional to 362,429.80, 543,644.70 and 212,741.80

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Solution

The fourth proportional to 362,429.80, 543,644.70 and 212,741.80 is: 319,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,429.80 : 543,644.70 = 212,741.80 : x
  2. Step 2: Convert to fraction form
    362,429.80/543,644.70 = 212,741.80/x
  3. Step 3: Cross multiply
    362,429.80x = 543,644.70 × 212,741.80
  4. Step 4: Simplify right side
    362,429.80x = 115,655,952,038.46
  5. Step 5: Solve for x
    x = 115,655,952,038.46/362,429.80
  6. Step 6: Final answer
    x = 319,112.70

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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.