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Finding the Fourth Proportional to 523,602.42, 785,799.18 and 419,676.18

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Solution

The fourth proportional to 523,602.42, 785,799.18 and 419,676.18 is: 629,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,602.42 : 785,799.18 = 419,676.18 : x
  2. Step 2: Convert to fraction form
    523,602.42/785,799.18 = 419,676.18/x
  3. Step 3: Cross multiply
    523,602.42x = 785,799.18 × 419,676.18
  4. Step 4: Simplify right side
    523,602.42x = 329,781,198,109.53
  5. Step 5: Solve for x
    x = 329,781,198,109.53/523,602.42
  6. Step 6: Final answer
    x = 629,831.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.