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Finding the Fourth Proportional to 411,419.70, 617,129.55 and 346,465.80

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Solution

The fourth proportional to 411,419.70, 617,129.55 and 346,465.80 is: 519,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,419.70 : 617,129.55 = 346,465.80 : x
  2. Step 2: Convert to fraction form
    411,419.70/617,129.55 = 346,465.80/x
  3. Step 3: Cross multiply
    411,419.70x = 617,129.55 × 346,465.80
  4. Step 4: Simplify right side
    411,419.70x = 213,814,283,244.39
  5. Step 5: Solve for x
    x = 213,814,283,244.39/411,419.70
  6. Step 6: Final answer
    x = 519,698.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.