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Finding the Fourth Proportional to 381,384.92, 572,080.84 and 97,075.80

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Solution

The fourth proportional to 381,384.92, 572,080.84 and 97,075.80 is: 145,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384.92 : 572,080.84 = 97,075.80 : x
  2. Step 2: Convert to fraction form
    381,384.92/572,080.84 = 97,075.80/x
  3. Step 3: Cross multiply
    381,384.92x = 572,080.84 × 97,075.80
  4. Step 4: Simplify right side
    381,384.92x = 55,535,205,207.67
  5. Step 5: Solve for x
    x = 55,535,205,207.67/381,384.92
  6. Step 6: Final answer
    x = 145,614.58

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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.