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Finding the Fourth Proportional to 413,241.78, 570,287.93 and 229,483.44

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Solution

The fourth proportional to 413,241.78, 570,287.93 and 229,483.44 is: 316,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.78 : 570,287.93 = 229,483.44 : x
  2. Step 2: Convert to fraction form
    413,241.78/570,287.93 = 229,483.44/x
  3. Step 3: Cross multiply
    413,241.78x = 570,287.93 × 229,483.44
  4. Step 4: Simplify right side
    413,241.78x = 130,871,635,966.88
  5. Step 5: Solve for x
    x = 130,871,635,966.88/413,241.78
  6. Step 6: Final answer
    x = 316,695.07

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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.