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Finding the Fourth Proportional to 365,002.80, 547,364.52 and 175,410

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Solution

The fourth proportional to 365,002.80, 547,364.52 and 175,410 is: 263,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,002.80 : 547,364.52 = 175,410 : x
  2. Step 2: Convert to fraction form
    365,002.80/547,364.52 = 175,410/x
  3. Step 3: Cross multiply
    365,002.80x = 547,364.52 × 175,410
  4. Step 4: Simplify right side
    365,002.80x = 96,013,210,453.20
  5. Step 5: Solve for x
    x = 96,013,210,453.20/365,002.80
  6. Step 6: Final answer
    x = 263,047.87

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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.