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Finding the Fourth Proportional to 348,302.82, 522,443.28 and 98,984.82

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Solution

The fourth proportional to 348,302.82, 522,443.28 and 98,984.82 is: 148,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,302.82 : 522,443.28 = 98,984.82 : x
  2. Step 2: Convert to fraction form
    348,302.82/522,443.28 = 98,984.82/x
  3. Step 3: Cross multiply
    348,302.82x = 522,443.28 × 98,984.82
  4. Step 4: Simplify right side
    348,302.82x = 51,713,954,031.01
  5. Step 5: Solve for x
    x = 51,713,954,031.01/348,302.82
  6. Step 6: Final answer
    x = 148,474.12

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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.