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Finding the Fourth Proportional to 508,436.46, 701,638.81 and 282,081.96

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Solution

The fourth proportional to 508,436.46, 701,638.81 and 282,081.96 is: 389,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,436.46 : 701,638.81 = 282,081.96 : x
  2. Step 2: Convert to fraction form
    508,436.46/701,638.81 = 282,081.96/x
  3. Step 3: Cross multiply
    508,436.46x = 701,638.81 × 282,081.96
  4. Step 4: Simplify right side
    508,436.46x = 197,919,650,031.66
  5. Step 5: Solve for x
    x = 197,919,650,031.66/508,436.46
  6. Step 6: Final answer
    x = 389,271.16

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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.