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Finding the Fourth Proportional to 384,705.33, 531,041.52 and 344,347.89

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Solution

The fourth proportional to 384,705.33, 531,041.52 and 344,347.89 is: 475,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,705.33 : 531,041.52 = 344,347.89 : x
  2. Step 2: Convert to fraction form
    384,705.33/531,041.52 = 344,347.89/x
  3. Step 3: Cross multiply
    384,705.33x = 531,041.52 × 344,347.89
  4. Step 4: Simplify right side
    384,705.33x = 182,863,026,914.39
  5. Step 5: Solve for x
    x = 182,863,026,914.39/384,705.33
  6. Step 6: Final answer
    x = 475,332.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.