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Finding the Fourth Proportional to 602,322.57, 903,567.24 and 203,077.50

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Solution

The fourth proportional to 602,322.57, 903,567.24 and 203,077.50 is: 304,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,322.57 : 903,567.24 = 203,077.50 : x
  2. Step 2: Convert to fraction form
    602,322.57/903,567.24 = 203,077.50/x
  3. Step 3: Cross multiply
    602,322.57x = 903,567.24 × 203,077.50
  4. Step 4: Simplify right side
    602,322.57x = 183,494,176,181.10
  5. Step 5: Solve for x
    x = 183,494,176,181.10/602,322.57
  6. Step 6: Final answer
    x = 304,644.36

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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.