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Finding the Fourth Proportional to 523,705.74, 722,744.90 and 394,416.18

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Solution

The fourth proportional to 523,705.74, 722,744.90 and 394,416.18 is: 544,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,705.74 : 722,744.90 = 394,416.18 : x
  2. Step 2: Convert to fraction form
    523,705.74/722,744.90 = 394,416.18/x
  3. Step 3: Cross multiply
    523,705.74x = 722,744.90 × 394,416.18
  4. Step 4: Simplify right side
    523,705.74x = 285,062,282,572.48
  5. Step 5: Solve for x
    x = 285,062,282,572.48/523,705.74
  6. Step 6: Final answer
    x = 544,317.66

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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.