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Finding the Fourth Proportional to 602,475.81, 903,083.16 and 202,978.56

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Solution

The fourth proportional to 602,475.81, 903,083.16 and 202,978.56 is: 304,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,475.81 : 903,083.16 = 202,978.56 : x
  2. Step 2: Convert to fraction form
    602,475.81/903,083.16 = 202,978.56/x
  3. Step 3: Cross multiply
    602,475.81x = 903,083.16 × 202,978.56
  4. Step 4: Simplify right side
    602,475.81x = 183,306,519,377.05
  5. Step 5: Solve for x
    x = 183,306,519,377.05/602,475.81
  6. Step 6: Final answer
    x = 304,255.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.