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Finding the Fourth Proportional to 650,926.65, 975,701.06 and 296,189.78

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Solution

The fourth proportional to 650,926.65, 975,701.06 and 296,189.78 is: 443,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,926.65 : 975,701.06 = 296,189.78 : x
  2. Step 2: Convert to fraction form
    650,926.65/975,701.06 = 296,189.78/x
  3. Step 3: Cross multiply
    650,926.65x = 975,701.06 × 296,189.78
  4. Step 4: Simplify right side
    650,926.65x = 288,992,675,947.71
  5. Step 5: Solve for x
    x = 288,992,675,947.71/650,926.65
  6. Step 6: Final answer
    x = 443,971.18

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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.