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Finding the Fourth Proportional to 492,814.20, 739,221.30 and 177,281.40

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Solution

The fourth proportional to 492,814.20, 739,221.30 and 177,281.40 is: 265,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,814.20 : 739,221.30 = 177,281.40 : x
  2. Step 2: Convert to fraction form
    492,814.20/739,221.30 = 177,281.40/x
  3. Step 3: Cross multiply
    492,814.20x = 739,221.30 × 177,281.40
  4. Step 4: Simplify right side
    492,814.20x = 131,050,186,973.82
  5. Step 5: Solve for x
    x = 131,050,186,973.82/492,814.20
  6. Step 6: Final answer
    x = 265,922.10

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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.