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Finding the Fourth Proportional to 438,468.30, 657,702.45 and 202,272.30

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Solution

The fourth proportional to 438,468.30, 657,702.45 and 202,272.30 is: 303,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,468.30 : 657,702.45 = 202,272.30 : x
  2. Step 2: Convert to fraction form
    438,468.30/657,702.45 = 202,272.30/x
  3. Step 3: Cross multiply
    438,468.30x = 657,702.45 × 202,272.30
  4. Step 4: Simplify right side
    438,468.30x = 133,034,987,277.14
  5. Step 5: Solve for x
    x = 133,034,987,277.14/438,468.30
  6. Step 6: Final answer
    x = 303,408.45

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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.