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Finding the Fourth Proportional to 390,133.45, 585,083.54 and 203,042.89

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Solution

The fourth proportional to 390,133.45, 585,083.54 and 203,042.89 is: 304,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,133.45 : 585,083.54 = 203,042.89 : x
  2. Step 2: Convert to fraction form
    390,133.45/585,083.54 = 203,042.89/x
  3. Step 3: Cross multiply
    390,133.45x = 585,083.54 × 203,042.89
  4. Step 4: Simplify right side
    390,133.45x = 118,797,051,837.82
  5. Step 5: Solve for x
    x = 118,797,051,837.82/390,133.45
  6. Step 6: Final answer
    x = 304,503.63

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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.