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Finding the Fourth Proportional to 562,775.25, 776,704.01 and 321,002.49

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Solution

The fourth proportional to 562,775.25, 776,704.01 and 321,002.49 is: 443,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,775.25 : 776,704.01 = 321,002.49 : x
  2. Step 2: Convert to fraction form
    562,775.25/776,704.01 = 321,002.49/x
  3. Step 3: Cross multiply
    562,775.25x = 776,704.01 × 321,002.49
  4. Step 4: Simplify right side
    562,775.25x = 249,323,919,597.97
  5. Step 5: Solve for x
    x = 249,323,919,597.97/562,775.25
  6. Step 6: Final answer
    x = 443,025.74

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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.