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Finding the Fourth Proportional to 473,568.21, 653,524.56 and 258,711.86

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Solution

The fourth proportional to 473,568.21, 653,524.56 and 258,711.86 is: 357,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,568.21 : 653,524.56 = 258,711.86 : x
  2. Step 2: Convert to fraction form
    473,568.21/653,524.56 = 258,711.86/x
  3. Step 3: Cross multiply
    473,568.21x = 653,524.56 × 258,711.86
  4. Step 4: Simplify right side
    473,568.21x = 169,074,554,473.28
  5. Step 5: Solve for x
    x = 169,074,554,473.28/473,568.21
  6. Step 6: Final answer
    x = 357,022.60

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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.