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Finding the Fourth Proportional to 296,201.05, 408,697.06 and 175,281.82

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Solution

The fourth proportional to 296,201.05, 408,697.06 and 175,281.82 is: 241,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,201.05 : 408,697.06 = 175,281.82 : x
  2. Step 2: Convert to fraction form
    296,201.05/408,697.06 = 175,281.82/x
  3. Step 3: Cross multiply
    296,201.05x = 408,697.06 × 175,281.82
  4. Step 4: Simplify right side
    296,201.05x = 71,637,164,505.45
  5. Step 5: Solve for x
    x = 71,637,164,505.45/296,201.05
  6. Step 6: Final answer
    x = 241,853.18

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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.