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Finding the Fourth Proportional to 409,622.36, 565,047.33 and 256,394.53

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Solution

The fourth proportional to 409,622.36, 565,047.33 and 256,394.53 is: 353,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,622.36 : 565,047.33 = 256,394.53 : x
  2. Step 2: Convert to fraction form
    409,622.36/565,047.33 = 256,394.53/x
  3. Step 3: Cross multiply
    409,622.36x = 565,047.33 × 256,394.53
  4. Step 4: Simplify right side
    409,622.36x = 144,875,044,347.94
  5. Step 5: Solve for x
    x = 144,875,044,347.94/409,622.36
  6. Step 6: Final answer
    x = 353,679.54

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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.