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Finding the Fourth Proportional to 380,752.92, 525,442.14 and 210,989.88

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Solution

The fourth proportional to 380,752.92, 525,442.14 and 210,989.88 is: 291,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,752.92 : 525,442.14 = 210,989.88 : x
  2. Step 2: Convert to fraction form
    380,752.92/525,442.14 = 210,989.88/x
  3. Step 3: Cross multiply
    380,752.92x = 525,442.14 × 210,989.88
  4. Step 4: Simplify right side
    380,752.92x = 110,862,974,065.54
  5. Step 5: Solve for x
    x = 110,862,974,065.54/380,752.92
  6. Step 6: Final answer
    x = 291,167.76

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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.