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Finding the Fourth Proportional to 477,858.48, 659,432.56 and 260,057.90

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Solution

The fourth proportional to 477,858.48, 659,432.56 and 260,057.90 is: 358,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,858.48 : 659,432.56 = 260,057.90 : x
  2. Step 2: Convert to fraction form
    477,858.48/659,432.56 = 260,057.90/x
  3. Step 3: Cross multiply
    477,858.48x = 659,432.56 × 260,057.90
  4. Step 4: Simplify right side
    477,858.48x = 171,490,646,745.22
  5. Step 5: Solve for x
    x = 171,490,646,745.22/477,858.48
  6. Step 6: Final answer
    x = 358,873.29

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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.