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Finding the Fourth Proportional to 403,564.68, 557,132.99 and 312,716.70

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Solution

The fourth proportional to 403,564.68, 557,132.99 and 312,716.70 is: 431,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,564.68 : 557,132.99 = 312,716.70 : x
  2. Step 2: Convert to fraction form
    403,564.68/557,132.99 = 312,716.70/x
  3. Step 3: Cross multiply
    403,564.68x = 557,132.99 × 312,716.70
  4. Step 4: Simplify right side
    403,564.68x = 174,224,788,530.35
  5. Step 5: Solve for x
    x = 174,224,788,530.35/403,564.68
  6. Step 6: Final answer
    x = 431,714.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.