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Finding the Fourth Proportional to 296,947.68, 409,804.56 and 176,160.48

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Solution

The fourth proportional to 296,947.68, 409,804.56 and 176,160.48 is: 243,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,947.68 : 409,804.56 = 176,160.48 : x
  2. Step 2: Convert to fraction form
    296,947.68/409,804.56 = 176,160.48/x
  3. Step 3: Cross multiply
    296,947.68x = 409,804.56 × 176,160.48
  4. Step 4: Simplify right side
    296,947.68x = 72,191,367,995.79
  5. Step 5: Solve for x
    x = 72,191,367,995.79/296,947.68
  6. Step 6: Final answer
    x = 243,111.41

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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.