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Finding the Fourth Proportional to 365,301.40, 547,692.90 and 165,717.40

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Solution

The fourth proportional to 365,301.40, 547,692.90 and 165,717.40 is: 248,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,301.40 : 547,692.90 = 165,717.40 : x
  2. Step 2: Convert to fraction form
    365,301.40/547,692.90 = 165,717.40/x
  3. Step 3: Cross multiply
    365,301.40x = 547,692.90 × 165,717.40
  4. Step 4: Simplify right side
    365,301.40x = 90,762,243,386.46
  5. Step 5: Solve for x
    x = 90,762,243,386.46/365,301.40
  6. Step 6: Final answer
    x = 248,458.52

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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.