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Finding the Fourth Proportional to 312,643.24, 468,973.50 and 194,655.40

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Solution

The fourth proportional to 312,643.24, 468,973.50 and 194,655.40 is: 291,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,643.24 : 468,973.50 = 194,655.40 : x
  2. Step 2: Convert to fraction form
    312,643.24/468,973.50 = 194,655.40/x
  3. Step 3: Cross multiply
    312,643.24x = 468,973.50 × 194,655.40
  4. Step 4: Simplify right side
    312,643.24x = 91,288,224,231.90
  5. Step 5: Solve for x
    x = 91,288,224,231.90/312,643.24
  6. Step 6: Final answer
    x = 291,988.48

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