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Finding the Fourth Proportional to 512,109.70, 706,605.88 and 294,276.30

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Solution

The fourth proportional to 512,109.70, 706,605.88 and 294,276.30 is: 406,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,109.70 : 706,605.88 = 294,276.30 : x
  2. Step 2: Convert to fraction form
    512,109.70/706,605.88 = 294,276.30/x
  3. Step 3: Cross multiply
    512,109.70x = 706,605.88 × 294,276.30
  4. Step 4: Simplify right side
    512,109.70x = 207,937,360,539.18
  5. Step 5: Solve for x
    x = 207,937,360,539.18/512,109.70
  6. Step 6: Final answer
    x = 406,040.66

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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.