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Finding the Fourth Proportional to 650,570.64, 975,757.32 and 177,293.76

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Solution

The fourth proportional to 650,570.64, 975,757.32 and 177,293.76 is: 265,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,570.64 : 975,757.32 = 177,293.76 : x
  2. Step 2: Convert to fraction form
    650,570.64/975,757.32 = 177,293.76/x
  3. Step 3: Cross multiply
    650,570.64x = 975,757.32 × 177,293.76
  4. Step 4: Simplify right side
    650,570.64x = 172,995,684,110.32
  5. Step 5: Solve for x
    x = 172,995,684,110.32/650,570.64
  6. Step 6: Final answer
    x = 265,913.76

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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.