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Finding the Fourth Proportional to 465,837.84, 698,756.82 and 371,903.76

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Solution

The fourth proportional to 465,837.84, 698,756.82 and 371,903.76 is: 557,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,837.84 : 698,756.82 = 371,903.76 : x
  2. Step 2: Convert to fraction form
    465,837.84/698,756.82 = 371,903.76/x
  3. Step 3: Cross multiply
    465,837.84x = 698,756.82 × 371,903.76
  4. Step 4: Simplify right side
    465,837.84x = 259,870,288,683.64
  5. Step 5: Solve for x
    x = 259,870,288,683.64/465,837.84
  6. Step 6: Final answer
    x = 557,855.69

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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.