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Finding the Fourth Proportional to 650,903.61, 976,511.30 and 271,613.35

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Solution

The fourth proportional to 650,903.61, 976,511.30 and 271,613.35 is: 407,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,903.61 : 976,511.30 = 271,613.35 : x
  2. Step 2: Convert to fraction form
    650,903.61/976,511.30 = 271,613.35/x
  3. Step 3: Cross multiply
    650,903.61x = 976,511.30 × 271,613.35
  4. Step 4: Simplify right side
    650,903.61x = 265,233,511,036.39
  5. Step 5: Solve for x
    x = 265,233,511,036.39/650,903.61
  6. Step 6: Final answer
    x = 407,485.08

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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.