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Finding the Fourth Proportional to 450,655.84, 675,741.28 and 180,648.48

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Solution

The fourth proportional to 450,655.84, 675,741.28 and 180,648.48 is: 270,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,655.84 : 675,741.28 = 180,648.48 : x
  2. Step 2: Convert to fraction form
    450,655.84/675,741.28 = 180,648.48/x
  3. Step 3: Cross multiply
    450,655.84x = 675,741.28 × 180,648.48
  4. Step 4: Simplify right side
    450,655.84x = 122,071,635,105.25
  5. Step 5: Solve for x
    x = 122,071,635,105.25/450,655.84
  6. Step 6: Final answer
    x = 270,875.52

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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.