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Finding the Fourth Proportional to 665,432.56, 997,205.28 and 514,972.45

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Solution

The fourth proportional to 665,432.56, 997,205.28 and 514,972.45 is: 771,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,432.56 : 997,205.28 = 514,972.45 : x
  2. Step 2: Convert to fraction form
    665,432.56/997,205.28 = 514,972.45/x
  3. Step 3: Cross multiply
    665,432.56x = 997,205.28 × 514,972.45
  4. Step 4: Simplify right side
    665,432.56x = 513,533,246,194.54
  5. Step 5: Solve for x
    x = 513,533,246,194.54/665,432.56
  6. Step 6: Final answer
    x = 771,728.46

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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.