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Finding the Fourth Proportional to 384,748.70, 577,132.95 and 182,297.30

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Solution

The fourth proportional to 384,748.70, 577,132.95 and 182,297.30 is: 273,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,748.70 : 577,132.95 = 182,297.30 : x
  2. Step 2: Convert to fraction form
    384,748.70/577,132.95 = 182,297.30/x
  3. Step 3: Cross multiply
    384,748.70x = 577,132.95 × 182,297.30
  4. Step 4: Simplify right side
    384,748.70x = 105,209,778,526.04
  5. Step 5: Solve for x
    x = 105,209,778,526.04/384,748.70
  6. Step 6: Final answer
    x = 273,450.64

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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.