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Finding the Fourth Proportional to 561,296.57, 841,560.54 and 201,459.43

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Solution

The fourth proportional to 561,296.57, 841,560.54 and 201,459.43 is: 302,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,296.57 : 841,560.54 = 201,459.43 : x
  2. Step 2: Convert to fraction form
    561,296.57/841,560.54 = 201,459.43/x
  3. Step 3: Cross multiply
    561,296.57x = 841,560.54 × 201,459.43
  4. Step 4: Simplify right side
    561,296.57x = 169,540,302,491.09
  5. Step 5: Solve for x
    x = 169,540,302,491.09/561,296.57
  6. Step 6: Final answer
    x = 302,051.20

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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.