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Finding the Fourth Proportional to 461,323.40, 691,657 and 176,772.82

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Solution

The fourth proportional to 461,323.40, 691,657 and 176,772.82 is: 265,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,323.40 : 691,657 = 176,772.82 : x
  2. Step 2: Convert to fraction form
    461,323.40/691,657 = 176,772.82/x
  3. Step 3: Cross multiply
    461,323.40x = 691,657 × 176,772.82
  4. Step 4: Simplify right side
    461,323.40x = 122,266,158,362.74
  5. Step 5: Solve for x
    x = 122,266,158,362.74/461,323.40
  6. Step 6: Final answer
    x = 265,033.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.