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Finding the Fourth Proportional to 410,301.01, 566,192.34 and 229,024.63

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Solution

The fourth proportional to 410,301.01, 566,192.34 and 229,024.63 is: 316,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,301.01 : 566,192.34 = 229,024.63 : x
  2. Step 2: Convert to fraction form
    410,301.01/566,192.34 = 229,024.63/x
  3. Step 3: Cross multiply
    410,301.01x = 566,192.34 × 229,024.63
  4. Step 4: Simplify right side
    410,301.01x = 129,671,991,177.33
  5. Step 5: Solve for x
    x = 129,671,991,177.33/410,301.01
  6. Step 6: Final answer
    x = 316,041.12

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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.