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Finding the Fourth Proportional to 497,492.81, 686,454 and 293,528.33

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Solution

The fourth proportional to 497,492.81, 686,454 and 293,528.33 is: 405,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,492.81 : 686,454 = 293,528.33 : x
  2. Step 2: Convert to fraction form
    497,492.81/686,454 = 293,528.33/x
  3. Step 3: Cross multiply
    497,492.81x = 686,454 × 293,528.33
  4. Step 4: Simplify right side
    497,492.81x = 201,493,696,241.82
  5. Step 5: Solve for x
    x = 201,493,696,241.82/497,492.81
  6. Step 6: Final answer
    x = 405,018.31

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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.