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Finding the Fourth Proportional to 602,464.57, 903,066.30 and 202,967.30

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Solution

The fourth proportional to 602,464.57, 903,066.30 and 202,967.30 is: 304,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,464.57 : 903,066.30 = 202,967.30 : x
  2. Step 2: Convert to fraction form
    602,464.57/903,066.30 = 202,967.30/x
  3. Step 3: Cross multiply
    602,464.57x = 903,066.30 × 202,967.30
  4. Step 4: Simplify right side
    602,464.57x = 183,292,930,889.66
  5. Step 5: Solve for x
    x = 183,292,930,889.66/602,464.57
  6. Step 6: Final answer
    x = 304,238.52

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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.