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Finding the Fourth Proportional to 455,875.30, 682,828.80 and 377,143.30

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Solution

The fourth proportional to 455,875.30, 682,828.80 and 377,143.30 is: 564,900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,875.30 : 682,828.80 = 377,143.30 : x
  2. Step 2: Convert to fraction form
    455,875.30/682,828.80 = 377,143.30/x
  3. Step 3: Cross multiply
    455,875.30x = 682,828.80 × 377,143.30
  4. Step 4: Simplify right side
    455,875.30x = 257,524,306,967.04
  5. Step 5: Solve for x
    x = 257,524,306,967.04/455,875.30
  6. Step 6: Final answer
    x = 564,900.77

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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.