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Finding the Fourth Proportional to 569,484.08, 854,234.40 and 148,760

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Solution

The fourth proportional to 569,484.08, 854,234.40 and 148,760 is: 223,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,484.08 : 854,234.40 = 148,760 : x
  2. Step 2: Convert to fraction form
    569,484.08/854,234.40 = 148,760/x
  3. Step 3: Cross multiply
    569,484.08x = 854,234.40 × 148,760
  4. Step 4: Simplify right side
    569,484.08x = 127,075,909,344
  5. Step 5: Solve for x
    x = 127,075,909,344/569,484.08
  6. Step 6: Final answer
    x = 223,142.16

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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.