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Finding the Fourth Proportional to 497,099.87, 686,075.72 and 293,173.21

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Solution

The fourth proportional to 497,099.87, 686,075.72 and 293,173.21 is: 404,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,099.87 : 686,075.72 = 293,173.21 : x
  2. Step 2: Convert to fraction form
    497,099.87/686,075.72 = 293,173.21/x
  3. Step 3: Cross multiply
    497,099.87x = 686,075.72 × 293,173.21
  4. Step 4: Simplify right side
    497,099.87x = 201,139,018,317.11
  5. Step 5: Solve for x
    x = 201,139,018,317.11/497,099.87
  6. Step 6: Final answer
    x = 404,624.97

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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.