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Finding the Fourth Proportional to 569,729.76, 786,225.60 and 327,924

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Solution

The fourth proportional to 569,729.76, 786,225.60 and 327,924 is: 452,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,729.76 : 786,225.60 = 327,924 : x
  2. Step 2: Convert to fraction form
    569,729.76/786,225.60 = 327,924/x
  3. Step 3: Cross multiply
    569,729.76x = 786,225.60 × 327,924
  4. Step 4: Simplify right side
    569,729.76x = 257,822,243,654.40
  5. Step 5: Solve for x
    x = 257,822,243,654.40/569,729.76
  6. Step 6: Final answer
    x = 452,534.27

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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.