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Finding the Fourth Proportional to 508,378.32, 701,562.36 and 282,024

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Solution

The fourth proportional to 508,378.32, 701,562.36 and 282,024 is: 389,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,378.32 : 701,562.36 = 282,024 : x
  2. Step 2: Convert to fraction form
    508,378.32/701,562.36 = 282,024/x
  3. Step 3: Cross multiply
    508,378.32x = 701,562.36 × 282,024
  4. Step 4: Simplify right side
    508,378.32x = 197,857,423,016.64
  5. Step 5: Solve for x
    x = 197,857,423,016.64/508,378.32
  6. Step 6: Final answer
    x = 389,193.27

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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.