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Finding the Fourth Proportional to 650,929.89, 975,705.92 and 296,193.03

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Solution

The fourth proportional to 650,929.89, 975,705.92 and 296,193.03 is: 443,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,929.89 : 975,705.92 = 296,193.03 : x
  2. Step 2: Convert to fraction form
    650,929.89/975,705.92 = 296,193.03/x
  3. Step 3: Cross multiply
    650,929.89x = 975,705.92 × 296,193.03
  4. Step 4: Simplify right side
    650,929.89x = 288,997,292,833.74
  5. Step 5: Solve for x
    x = 288,997,292,833.74/650,929.89
  6. Step 6: Final answer
    x = 443,976.07

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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.