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Finding the Fourth Proportional to 294,829.60, 442,244.40 and 81,597.10

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Solution

The fourth proportional to 294,829.60, 442,244.40 and 81,597.10 is: 122,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,829.60 : 442,244.40 = 81,597.10 : x
  2. Step 2: Convert to fraction form
    294,829.60/442,244.40 = 81,597.10/x
  3. Step 3: Cross multiply
    294,829.60x = 442,244.40 × 81,597.10
  4. Step 4: Simplify right side
    294,829.60x = 36,085,860,531.24
  5. Step 5: Solve for x
    x = 36,085,860,531.24/294,829.60
  6. Step 6: Final answer
    x = 122,395.65

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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.