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Finding the Fourth Proportional to 569,200.47, 785,429.78 and 314,536.47

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Solution

The fourth proportional to 569,200.47, 785,429.78 and 314,536.47 is: 434,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,200.47 : 785,429.78 = 314,536.47 : x
  2. Step 2: Convert to fraction form
    569,200.47/785,429.78 = 314,536.47/x
  3. Step 3: Cross multiply
    569,200.47x = 785,429.78 × 314,536.47
  4. Step 4: Simplify right side
    569,200.47x = 247,046,308,861.39
  5. Step 5: Solve for x
    x = 247,046,308,861.39/569,200.47
  6. Step 6: Final answer
    x = 434,023.37

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1.5x scale

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.