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Finding the Fourth Proportional to 569,676.80, 854,563.98 and 148,952

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Solution

The fourth proportional to 569,676.80, 854,563.98 and 148,952 is: 223,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,676.80 : 854,563.98 = 148,952 : x
  2. Step 2: Convert to fraction form
    569,676.80/854,563.98 = 148,952/x
  3. Step 3: Cross multiply
    569,676.80x = 854,563.98 × 148,952
  4. Step 4: Simplify right side
    569,676.80x = 127,289,013,948.96
  5. Step 5: Solve for x
    x = 127,289,013,948.96/569,676.80
  6. Step 6: Final answer
    x = 223,440.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.