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Finding the Fourth Proportional to 455,808.40, 683,712.60 and 329,837.20

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Solution

The fourth proportional to 455,808.40, 683,712.60 and 329,837.20 is: 494,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,808.40 : 683,712.60 = 329,837.20 : x
  2. Step 2: Convert to fraction form
    455,808.40/683,712.60 = 329,837.20/x
  3. Step 3: Cross multiply
    455,808.40x = 683,712.60 × 329,837.20
  4. Step 4: Simplify right side
    455,808.40x = 225,513,849,588.72
  5. Step 5: Solve for x
    x = 225,513,849,588.72/455,808.40
  6. Step 6: Final answer
    x = 494,755.80

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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.