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Finding the Fourth Proportional to 473,729.58, 653,719.28 and 258,871.41

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Solution

The fourth proportional to 473,729.58, 653,719.28 and 258,871.41 is: 357,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,729.58 : 653,719.28 = 258,871.41 : x
  2. Step 2: Convert to fraction form
    473,729.58/653,719.28 = 258,871.41/x
  3. Step 3: Cross multiply
    473,729.58x = 653,719.28 × 258,871.41
  4. Step 4: Simplify right side
    473,729.58x = 169,229,230,463.43
  5. Step 5: Solve for x
    x = 169,229,230,463.43/473,729.58
  6. Step 6: Final answer
    x = 357,227.49

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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.