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Finding the Fourth Proportional to 590,046.93, 814,142.75 and 344,984.47

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Solution

The fourth proportional to 590,046.93, 814,142.75 and 344,984.47 is: 476,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,046.93 : 814,142.75 = 344,984.47 : x
  2. Step 2: Convert to fraction form
    590,046.93/814,142.75 = 344,984.47/x
  3. Step 3: Cross multiply
    590,046.93x = 814,142.75 × 344,984.47
  4. Step 4: Simplify right side
    590,046.93x = 280,866,601,352.81
  5. Step 5: Solve for x
    x = 280,866,601,352.81/590,046.93
  6. Step 6: Final answer
    x = 476,007.22

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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.