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Finding the Fourth Proportional to 513,477.66, 708,544.67 and 283,998.49

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Solution

The fourth proportional to 513,477.66, 708,544.67 and 283,998.49 is: 391,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,477.66 : 708,544.67 = 283,998.49 : x
  2. Step 2: Convert to fraction form
    513,477.66/708,544.67 = 283,998.49/x
  3. Step 3: Cross multiply
    513,477.66x = 708,544.67 × 283,998.49
  4. Step 4: Simplify right side
    513,477.66x = 201,225,613,186.19
  5. Step 5: Solve for x
    x = 201,225,613,186.19/513,477.66
  6. Step 6: Final answer
    x = 391,887.76

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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.