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Finding the Fourth Proportional to 454,295.80, 681,443.70 and 314,327.80

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Solution

The fourth proportional to 454,295.80, 681,443.70 and 314,327.80 is: 471,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,295.80 : 681,443.70 = 314,327.80 : x
  2. Step 2: Convert to fraction form
    454,295.80/681,443.70 = 314,327.80/x
  3. Step 3: Cross multiply
    454,295.80x = 681,443.70 × 314,327.80
  4. Step 4: Simplify right side
    454,295.80x = 214,196,699,044.86
  5. Step 5: Solve for x
    x = 214,196,699,044.86/454,295.80
  6. Step 6: Final answer
    x = 471,491.70

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Similar ratio
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1.5x scale

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.