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Finding the Fourth Proportional to 497,508.68, 686,475.81 and 293,544.20

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Solution

The fourth proportional to 497,508.68, 686,475.81 and 293,544.20 is: 405,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,508.68 : 686,475.81 = 293,544.20 : x
  2. Step 2: Convert to fraction form
    497,508.68/686,475.81 = 293,544.20/x
  3. Step 3: Cross multiply
    497,508.68x = 686,475.81 × 293,544.20
  4. Step 4: Simplify right side
    497,508.68x = 201,510,994,181.99
  5. Step 5: Solve for x
    x = 201,510,994,181.99/497,508.68
  6. Step 6: Final answer
    x = 405,040.16

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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.