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Finding the Fourth Proportional to 350,511.76, 525,767.76 and 97,782

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Solution

The fourth proportional to 350,511.76, 525,767.76 and 97,782 is: 146,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,511.76 : 525,767.76 = 97,782 : x
  2. Step 2: Convert to fraction form
    350,511.76/525,767.76 = 97,782/x
  3. Step 3: Cross multiply
    350,511.76x = 525,767.76 × 97,782
  4. Step 4: Simplify right side
    350,511.76x = 51,410,623,108.32
  5. Step 5: Solve for x
    x = 51,410,623,108.32/350,511.76
  6. Step 6: Final answer
    x = 146,673.03

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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.