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Finding the Fourth Proportional to 561,296.45, 841,560.35 and 201,459.30

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Solution

The fourth proportional to 561,296.45, 841,560.35 and 201,459.30 is: 302,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,296.45 : 841,560.35 = 201,459.30 : x
  2. Step 2: Convert to fraction form
    561,296.45/841,560.35 = 201,459.30/x
  3. Step 3: Cross multiply
    561,296.45x = 841,560.35 × 201,459.30
  4. Step 4: Simplify right side
    561,296.45x = 169,540,158,011.46
  5. Step 5: Solve for x
    x = 169,540,158,011.46/561,296.45
  6. Step 6: Final answer
    x = 302,051.01

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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.