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Finding the Fourth Proportional to 272,937.60, 409,406.40 and 188,519.40

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Solution

The fourth proportional to 272,937.60, 409,406.40 and 188,519.40 is: 282,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,937.60 : 409,406.40 = 188,519.40 : x
  2. Step 2: Convert to fraction form
    272,937.60/409,406.40 = 188,519.40/x
  3. Step 3: Cross multiply
    272,937.60x = 409,406.40 × 188,519.40
  4. Step 4: Simplify right side
    272,937.60x = 77,181,048,884.16
  5. Step 5: Solve for x
    x = 77,181,048,884.16/272,937.60
  6. Step 6: Final answer
    x = 282,779.10

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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.