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Finding the Fourth Proportional to 450,315.84, 675,224.16 and 184,262.88

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Solution

The fourth proportional to 450,315.84, 675,224.16 and 184,262.88 is: 276,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,315.84 : 675,224.16 = 184,262.88 : x
  2. Step 2: Convert to fraction form
    450,315.84/675,224.16 = 184,262.88/x
  3. Step 3: Cross multiply
    450,315.84x = 675,224.16 × 184,262.88
  4. Step 4: Simplify right side
    450,315.84x = 124,418,748,367.18
  5. Step 5: Solve for x
    x = 124,418,748,367.18/450,315.84
  6. Step 6: Final answer
    x = 276,292.19

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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.