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Finding the Fourth Proportional to 650,659.23, 897,928.74 and 364,171.95

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Solution

The fourth proportional to 650,659.23, 897,928.74 and 364,171.95 is: 502,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,659.23 : 897,928.74 = 364,171.95 : x
  2. Step 2: Convert to fraction form
    650,659.23/897,928.74 = 364,171.95/x
  3. Step 3: Cross multiply
    650,659.23x = 897,928.74 × 364,171.95
  4. Step 4: Simplify right side
    650,659.23x = 327,000,460,206.84
  5. Step 5: Solve for x
    x = 327,000,460,206.84/650,659.23
  6. Step 6: Final answer
    x = 502,567.93

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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.