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Finding the Fourth Proportional to 561,298.32, 841,563.17 and 201,461.18

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Solution

The fourth proportional to 561,298.32, 841,563.17 and 201,461.18 is: 302,053.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,298.32 : 841,563.17 = 201,461.18 : x
  2. Step 2: Convert to fraction form
    561,298.32/841,563.17 = 201,461.18/x
  3. Step 3: Cross multiply
    561,298.32x = 841,563.17 × 201,461.18
  4. Step 4: Simplify right side
    561,298.32x = 169,542,304,057.62
  5. Step 5: Solve for x
    x = 169,542,304,057.62/561,298.32
  6. Step 6: Final answer
    x = 302,053.82

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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.