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Finding the Fourth Proportional to 497,135.97, 686,076.89 and 374,411.84

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Solution

The fourth proportional to 497,135.97, 686,076.89 and 374,411.84 is: 516,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,135.97 : 686,076.89 = 374,411.84 : x
  2. Step 2: Convert to fraction form
    497,135.97/686,076.89 = 374,411.84/x
  3. Step 3: Cross multiply
    497,135.97x = 686,076.89 × 374,411.84
  4. Step 4: Simplify right side
    497,135.97x = 256,875,305,463.93
  5. Step 5: Solve for x
    x = 256,875,305,463.93/497,135.97
  6. Step 6: Final answer
    x = 516,710.36

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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.