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Finding the Fourth Proportional to 602,354.52, 903,082.32 and 362,412.18

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Solution

The fourth proportional to 602,354.52, 903,082.32 and 362,412.18 is: 543,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,354.52 : 903,082.32 = 362,412.18 : x
  2. Step 2: Convert to fraction form
    602,354.52/903,082.32 = 362,412.18/x
  3. Step 3: Cross multiply
    602,354.52x = 903,082.32 × 362,412.18
  4. Step 4: Simplify right side
    602,354.52x = 327,288,032,310.66
  5. Step 5: Solve for x
    x = 327,288,032,310.66/602,354.52
  6. Step 6: Final answer
    x = 543,347.85

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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.