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Finding the Fourth Proportional to 296,606.07, 409,334.31 and 181,897.92

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Solution

The fourth proportional to 296,606.07, 409,334.31 and 181,897.92 is: 251,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,606.07 : 409,334.31 = 181,897.92 : x
  2. Step 2: Convert to fraction form
    296,606.07/409,334.31 = 181,897.92/x
  3. Step 3: Cross multiply
    296,606.07x = 409,334.31 × 181,897.92
  4. Step 4: Simplify right side
    296,606.07x = 74,457,059,573.64
  5. Step 5: Solve for x
    x = 74,457,059,573.64/296,606.07
  6. Step 6: Final answer
    x = 251,030.13

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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.