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Finding the Fourth Proportional to 567,794.56, 783,528.24 and 313,139.20

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Solution

The fourth proportional to 567,794.56, 783,528.24 and 313,139.20 is: 432,116.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,794.56 : 783,528.24 = 313,139.20 : x
  2. Step 2: Convert to fraction form
    567,794.56/783,528.24 = 313,139.20/x
  3. Step 3: Cross multiply
    567,794.56x = 783,528.24 × 313,139.20
  4. Step 4: Simplify right side
    567,794.56x = 245,353,406,251.01
  5. Step 5: Solve for x
    x = 245,353,406,251.01/567,794.56
  6. Step 6: Final answer
    x = 432,116.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.