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Finding the Fourth Proportional to 461,633.25, 692,539.65 and 177,303

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Solution

The fourth proportional to 461,633.25, 692,539.65 and 177,303 is: 265,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,633.25 : 692,539.65 = 177,303 : x
  2. Step 2: Convert to fraction form
    461,633.25/692,539.65 = 177,303/x
  3. Step 3: Cross multiply
    461,633.25x = 692,539.65 × 177,303
  4. Step 4: Simplify right side
    461,633.25x = 122,789,357,563.95
  5. Step 5: Solve for x
    x = 122,789,357,563.95/461,633.25
  6. Step 6: Final answer
    x = 265,988.98

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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.