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Finding the Fourth Proportional to 364,082.13, 502,450.35 and 202,938.35

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Solution

The fourth proportional to 364,082.13, 502,450.35 and 202,938.35 is: 280,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,082.13 : 502,450.35 = 202,938.35 : x
  2. Step 2: Convert to fraction form
    364,082.13/502,450.35 = 202,938.35/x
  3. Step 3: Cross multiply
    364,082.13x = 502,450.35 × 202,938.35
  4. Step 4: Simplify right side
    364,082.13x = 101,966,444,985.92
  5. Step 5: Solve for x
    x = 101,966,444,985.92/364,082.13
  6. Step 6: Final answer
    x = 280,064.40

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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.