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Finding the Fourth Proportional to 864,988.52, 1,193,679.38 and 477,830.58

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Solution

The fourth proportional to 864,988.52, 1,193,679.38 and 477,830.58 is: 659,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,988.52 : 1,193,679.38 = 477,830.58 : x
  2. Step 2: Convert to fraction form
    864,988.52/1,193,679.38 = 477,830.58/x
  3. Step 3: Cross multiply
    864,988.52x = 1,193,679.38 × 477,830.58
  4. Step 4: Simplify right side
    864,988.52x = 570,376,508,090.29
  5. Step 5: Solve for x
    x = 570,376,508,090.29/864,988.52
  6. Step 6: Final answer
    x = 659,403.56

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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.