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Finding the Fourth Proportional to 567,143.40, 782,713.05 and 423,654.33

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Solution

The fourth proportional to 567,143.40, 782,713.05 and 423,654.33 is: 584,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,143.40 : 782,713.05 = 423,654.33 : x
  2. Step 2: Convert to fraction form
    567,143.40/782,713.05 = 423,654.33/x
  3. Step 3: Cross multiply
    567,143.40x = 782,713.05 × 423,654.33
  4. Step 4: Simplify right side
    567,143.40x = 331,599,772,780.01
  5. Step 5: Solve for x
    x = 331,599,772,780.01/567,143.40
  6. Step 6: Final answer
    x = 584,684.18

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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.