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Finding the Fourth Proportional to 446,461.85, 616,214.84 and 274,527.77

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Solution

The fourth proportional to 446,461.85, 616,214.84 and 274,527.77 is: 378,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,461.85 : 616,214.84 = 274,527.77 : x
  2. Step 2: Convert to fraction form
    446,461.85/616,214.84 = 274,527.77/x
  3. Step 3: Cross multiply
    446,461.85x = 616,214.84 × 274,527.77
  4. Step 4: Simplify right side
    446,461.85x = 169,168,082,785.03
  5. Step 5: Solve for x
    x = 169,168,082,785.03/446,461.85
  6. Step 6: Final answer
    x = 378,908.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.