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Finding the Fourth Proportional to 589,049, 883,573.50 and 145,817

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Solution

The fourth proportional to 589,049, 883,573.50 and 145,817 is: 218,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,049 : 883,573.50 = 145,817 : x
  2. Step 2: Convert to fraction form
    589,049/883,573.50 = 145,817/x
  3. Step 3: Cross multiply
    589,049x = 883,573.50 × 145,817
  4. Step 4: Simplify right side
    589,049x = 128,840,037,049.50
  5. Step 5: Solve for x
    x = 128,840,037,049.50/589,049
  6. Step 6: Final answer
    x = 218,725.50

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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.