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Finding the Fourth Proportional to 523,544.16, 722,412.23 and 294,057.46

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Solution

The fourth proportional to 523,544.16, 722,412.23 and 294,057.46 is: 405,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,544.16 : 722,412.23 = 294,057.46 : x
  2. Step 2: Convert to fraction form
    523,544.16/722,412.23 = 294,057.46/x
  3. Step 3: Cross multiply
    523,544.16x = 722,412.23 × 294,057.46
  4. Step 4: Simplify right side
    523,544.16x = 212,430,705,426.74
  5. Step 5: Solve for x
    x = 212,430,705,426.74/523,544.16
  6. Step 6: Final answer
    x = 405,755.09

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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.