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Finding the Fourth Proportional to 531,203, 733,060.14 and 292,739

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Solution

The fourth proportional to 531,203, 733,060.14 and 292,739 is: 403,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,203 : 733,060.14 = 292,739 : x
  2. Step 2: Convert to fraction form
    531,203/733,060.14 = 292,739/x
  3. Step 3: Cross multiply
    531,203x = 733,060.14 × 292,739
  4. Step 4: Simplify right side
    531,203x = 214,595,292,323.46
  5. Step 5: Solve for x
    x = 214,595,292,323.46/531,203
  6. Step 6: Final answer
    x = 403,979.82

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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.