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Finding the Fourth Proportional to 450,657, 676,311.14 and 177,143.96

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Solution

The fourth proportional to 450,657, 676,311.14 and 177,143.96 is: 265,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,657 : 676,311.14 = 177,143.96 : x
  2. Step 2: Convert to fraction form
    450,657/676,311.14 = 177,143.96/x
  3. Step 3: Cross multiply
    450,657x = 676,311.14 × 177,143.96
  4. Step 4: Simplify right side
    450,657x = 119,804,433,531.71
  5. Step 5: Solve for x
    x = 119,804,433,531.71/450,657
  6. Step 6: Final answer
    x = 265,843.94

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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.