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Finding the Fourth Proportional to 575,156.40, 862,829.64 and 259,606.32

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Solution

The fourth proportional to 575,156.40, 862,829.64 and 259,606.32 is: 389,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,156.40 : 862,829.64 = 259,606.32 : x
  2. Step 2: Convert to fraction form
    575,156.40/862,829.64 = 259,606.32/x
  3. Step 3: Cross multiply
    575,156.40x = 862,829.64 × 259,606.32
  4. Step 4: Simplify right side
    575,156.40x = 223,996,027,627.33
  5. Step 5: Solve for x
    x = 223,996,027,627.33/575,156.40
  6. Step 6: Final answer
    x = 389,452.38

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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.