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Finding the Fourth Proportional to 415,298.88, 623,000.43 and 162,546.75

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Solution

The fourth proportional to 415,298.88, 623,000.43 and 162,546.75 is: 243,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,298.88 : 623,000.43 = 162,546.75 : x
  2. Step 2: Convert to fraction form
    415,298.88/623,000.43 = 162,546.75/x
  3. Step 3: Cross multiply
    415,298.88x = 623,000.43 × 162,546.75
  4. Step 4: Simplify right side
    415,298.88x = 101,266,695,145.10
  5. Step 5: Solve for x
    x = 101,266,695,145.10/415,298.88
  6. Step 6: Final answer
    x = 243,840.52

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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.