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Finding the Fourth Proportional to 364,471.12, 546,910.80 and 154,266.40

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Solution

The fourth proportional to 364,471.12, 546,910.80 and 154,266.40 is: 231,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,471.12 : 546,910.80 = 154,266.40 : x
  2. Step 2: Convert to fraction form
    364,471.12/546,910.80 = 154,266.40/x
  3. Step 3: Cross multiply
    364,471.12x = 546,910.80 × 154,266.40
  4. Step 4: Simplify right side
    364,471.12x = 84,369,960,237.12
  5. Step 5: Solve for x
    x = 84,369,960,237.12/364,471.12
  6. Step 6: Final answer
    x = 231,486.00

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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.