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Finding the Fourth Proportional to 497,030.34, 685,869.21 and 293,071.38

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Solution

The fourth proportional to 497,030.34, 685,869.21 and 293,071.38 is: 404,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,030.34 : 685,869.21 = 293,071.38 : x
  2. Step 2: Convert to fraction form
    497,030.34/685,869.21 = 293,071.38/x
  3. Step 3: Cross multiply
    497,030.34x = 685,869.21 × 293,071.38
  4. Step 4: Simplify right side
    497,030.34x = 201,008,635,874.21
  5. Step 5: Solve for x
    x = 201,008,635,874.21/497,030.34
  6. Step 6: Final answer
    x = 404,419.25

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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.