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Finding the Fourth Proportional to 562,591.56, 776,397.84 and 320,913.48

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Solution

The fourth proportional to 562,591.56, 776,397.84 and 320,913.48 is: 442,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,591.56 : 776,397.84 = 320,913.48 : x
  2. Step 2: Convert to fraction form
    562,591.56/776,397.84 = 320,913.48/x
  3. Step 3: Cross multiply
    562,591.56x = 776,397.84 × 320,913.48
  4. Step 4: Simplify right side
    562,591.56x = 249,156,532,698.88
  5. Step 5: Solve for x
    x = 249,156,532,698.88/562,591.56
  6. Step 6: Final answer
    x = 442,872.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.