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Finding the Fourth Proportional to 665,431.56, 997,203.78 and 514,971.45

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Solution

The fourth proportional to 665,431.56, 997,203.78 and 514,971.45 is: 771,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,431.56 : 997,203.78 = 514,971.45 : x
  2. Step 2: Convert to fraction form
    665,431.56/997,203.78 = 514,971.45/x
  3. Step 3: Cross multiply
    665,431.56x = 997,203.78 × 514,971.45
  4. Step 4: Simplify right side
    665,431.56x = 513,531,476,532.08
  5. Step 5: Solve for x
    x = 513,531,476,532.08/665,431.56
  6. Step 6: Final answer
    x = 771,726.96

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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.