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Finding the Fourth Proportional to 455,538.96, 683,326.80 and 171,199.80

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Solution

The fourth proportional to 455,538.96, 683,326.80 and 171,199.80 is: 256,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,538.96 : 683,326.80 = 171,199.80 : x
  2. Step 2: Convert to fraction form
    455,538.96/683,326.80 = 171,199.80/x
  3. Step 3: Cross multiply
    455,538.96x = 683,326.80 × 171,199.80
  4. Step 4: Simplify right side
    455,538.96x = 116,985,411,494.64
  5. Step 5: Solve for x
    x = 116,985,411,494.64/455,538.96
  6. Step 6: Final answer
    x = 256,806.60

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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.