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Finding the Fourth Proportional to 473,677.56, 653,655.60 and 258,825

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Solution

The fourth proportional to 473,677.56, 653,655.60 and 258,825 is: 357,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,677.56 : 653,655.60 = 258,825 : x
  2. Step 2: Convert to fraction form
    473,677.56/653,655.60 = 258,825/x
  3. Step 3: Cross multiply
    473,677.56x = 653,655.60 × 258,825
  4. Step 4: Simplify right side
    473,677.56x = 169,182,410,670
  5. Step 5: Solve for x
    x = 169,182,410,670/473,677.56
  6. Step 6: Final answer
    x = 357,167.88

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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.