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Finding the Fourth Proportional to 321,952.36, 482,773 and 188,875.84

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Solution

The fourth proportional to 321,952.36, 482,773 and 188,875.84 is: 283,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,952.36 : 482,773 = 188,875.84 : x
  2. Step 2: Convert to fraction form
    321,952.36/482,773 = 188,875.84/x
  3. Step 3: Cross multiply
    321,952.36x = 482,773 × 188,875.84
  4. Step 4: Simplify right side
    321,952.36x = 91,184,155,904.32
  5. Step 5: Solve for x
    x = 91,184,155,904.32/321,952.36
  6. Step 6: Final answer
    x = 283,222.51

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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.