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Finding the Fourth Proportional to 348,098.80, 522,075.30 and 170,733.10

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Solution

The fourth proportional to 348,098.80, 522,075.30 and 170,733.10 is: 256,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,098.80 : 522,075.30 = 170,733.10 : x
  2. Step 2: Convert to fraction form
    348,098.80/522,075.30 = 170,733.10/x
  3. Step 3: Cross multiply
    348,098.80x = 522,075.30 × 170,733.10
  4. Step 4: Simplify right side
    348,098.80x = 89,135,534,402.43
  5. Step 5: Solve for x
    x = 89,135,534,402.43/348,098.80
  6. Step 6: Final answer
    x = 256,063.89

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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.