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Finding the Fourth Proportional to 465,536.32, 698,290.64 and 128,597.20

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Solution

The fourth proportional to 465,536.32, 698,290.64 and 128,597.20 is: 192,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,536.32 : 698,290.64 = 128,597.20 : x
  2. Step 2: Convert to fraction form
    465,536.32/698,290.64 = 128,597.20/x
  3. Step 3: Cross multiply
    465,536.32x = 698,290.64 × 128,597.20
  4. Step 4: Simplify right side
    465,536.32x = 89,798,221,090.21
  5. Step 5: Solve for x
    x = 89,798,221,090.21/465,536.32
  6. Step 6: Final answer
    x = 192,891.98

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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.