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Finding the Fourth Proportional to 532,894.34, 799,394.64 and 153,824.26

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Solution

The fourth proportional to 532,894.34, 799,394.64 and 153,824.26 is: 230,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,894.34 : 799,394.64 = 153,824.26 : x
  2. Step 2: Convert to fraction form
    532,894.34/799,394.64 = 153,824.26/x
  3. Step 3: Cross multiply
    532,894.34x = 799,394.64 × 153,824.26
  4. Step 4: Simplify right side
    532,894.34x = 122,966,288,945.97
  5. Step 5: Solve for x
    x = 122,966,288,945.97/532,894.34
  6. Step 6: Final answer
    x = 230,751.73

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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.