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Finding the Fourth Proportional to 569,490.08, 854,243.40 and 148,766

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Solution

The fourth proportional to 569,490.08, 854,243.40 and 148,766 is: 223,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,490.08 : 854,243.40 = 148,766 : x
  2. Step 2: Convert to fraction form
    569,490.08/854,243.40 = 148,766/x
  3. Step 3: Cross multiply
    569,490.08x = 854,243.40 × 148,766
  4. Step 4: Simplify right side
    569,490.08x = 127,082,373,644.40
  5. Step 5: Solve for x
    x = 127,082,373,644.40/569,490.08
  6. Step 6: Final answer
    x = 223,151.16

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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.