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Finding the Fourth Proportional to 365,308.40, 547,703.40 and 165,724.40

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Solution

The fourth proportional to 365,308.40, 547,703.40 and 165,724.40 is: 248,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,308.40 : 547,703.40 = 165,724.40 : x
  2. Step 2: Convert to fraction form
    365,308.40/547,703.40 = 165,724.40/x
  3. Step 3: Cross multiply
    365,308.40x = 547,703.40 × 165,724.40
  4. Step 4: Simplify right side
    365,308.40x = 90,767,817,342.96
  5. Step 5: Solve for x
    x = 90,767,817,342.96/365,308.40
  6. Step 6: Final answer
    x = 248,469.01

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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.