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Finding the Fourth Proportional to 497,084.94, 686,066.51 and 293,123.63

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Solution

The fourth proportional to 497,084.94, 686,066.51 and 293,123.63 is: 404,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,084.94 : 686,066.51 = 293,123.63 : x
  2. Step 2: Convert to fraction form
    497,084.94/686,066.51 = 293,123.63/x
  3. Step 3: Cross multiply
    497,084.94x = 686,066.51 × 293,123.63
  4. Step 4: Simplify right side
    497,084.94x = 201,102,300,936.68
  5. Step 5: Solve for x
    x = 201,102,300,936.68/497,084.94
  6. Step 6: Final answer
    x = 404,563.25

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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.