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Finding the Fourth Proportional to 497,440.72, 686,698.68 and 293,422.96

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Solution

The fourth proportional to 497,440.72, 686,698.68 and 293,422.96 is: 405,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,440.72 : 686,698.68 = 293,422.96 : x
  2. Step 2: Convert to fraction form
    497,440.72/686,698.68 = 293,422.96/x
  3. Step 3: Cross multiply
    497,440.72x = 686,698.68 × 293,422.96
  4. Step 4: Simplify right side
    497,440.72x = 201,493,159,313.69
  5. Step 5: Solve for x
    x = 201,493,159,313.69/497,440.72
  6. Step 6: Final answer
    x = 405,059.64

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Similar ratio
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1.5x scale

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.