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Finding the Fourth Proportional to 612,977.83, 919,457.53 and 275,780.40

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Solution

The fourth proportional to 612,977.83, 919,457.53 and 275,780.40 is: 413,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,977.83 : 919,457.53 = 275,780.40 : x
  2. Step 2: Convert to fraction form
    612,977.83/919,457.53 = 275,780.40/x
  3. Step 3: Cross multiply
    612,977.83x = 919,457.53 × 275,780.40
  4. Step 4: Simplify right side
    612,977.83x = 253,568,361,269.00
  5. Step 5: Solve for x
    x = 253,568,361,269.00/612,977.83
  6. Step 6: Final answer
    x = 413,666.45

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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.