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Finding the Fourth Proportional to 455,783.80, 683,675.70 and 322,814.20

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Solution

The fourth proportional to 455,783.80, 683,675.70 and 322,814.20 is: 484,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,783.80 : 683,675.70 = 322,814.20 : x
  2. Step 2: Convert to fraction form
    455,783.80/683,675.70 = 322,814.20/x
  3. Step 3: Cross multiply
    455,783.80x = 683,675.70 × 322,814.20
  4. Step 4: Simplify right side
    455,783.80x = 220,700,224,154.94
  5. Step 5: Solve for x
    x = 220,700,224,154.94/455,783.80
  6. Step 6: Final answer
    x = 484,221.30

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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.