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Finding the Fourth Proportional to 511,348.68, 705,663.54 and 296,615.88

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Solution

The fourth proportional to 511,348.68, 705,663.54 and 296,615.88 is: 409,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,348.68 : 705,663.54 = 296,615.88 : x
  2. Step 2: Convert to fraction form
    511,348.68/705,663.54 = 296,615.88/x
  3. Step 3: Cross multiply
    511,348.68x = 705,663.54 × 296,615.88
  4. Step 4: Simplify right side
    511,348.68x = 209,311,011,901.02
  5. Step 5: Solve for x
    x = 209,311,011,901.02/511,348.68
  6. Step 6: Final answer
    x = 409,331.28

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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.