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Finding the Fourth Proportional to 513,249.84, 708,309.36 and 283,803.12

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Solution

The fourth proportional to 513,249.84, 708,309.36 and 283,803.12 is: 391,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,249.84 : 708,309.36 = 283,803.12 : x
  2. Step 2: Convert to fraction form
    513,249.84/708,309.36 = 283,803.12/x
  3. Step 3: Cross multiply
    513,249.84x = 708,309.36 × 283,803.12
  4. Step 4: Simplify right side
    513,249.84x = 201,020,406,293.20
  5. Step 5: Solve for x
    x = 201,020,406,293.20/513,249.84
  6. Step 6: Final answer
    x = 391,661.90

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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.