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Finding the Fourth Proportional to 598,475.16, 825,775.38 and 380,770.24

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Solution

The fourth proportional to 598,475.16, 825,775.38 and 380,770.24 is: 525,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,475.16 : 825,775.38 = 380,770.24 : x
  2. Step 2: Convert to fraction form
    598,475.16/825,775.38 = 380,770.24/x
  3. Step 3: Cross multiply
    598,475.16x = 825,775.38 × 380,770.24
  4. Step 4: Simplify right side
    598,475.16x = 314,430,689,628.69
  5. Step 5: Solve for x
    x = 314,430,689,628.69/598,475.16
  6. Step 6: Final answer
    x = 525,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.