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Finding the Fourth Proportional to 516,205.69, 712,477.61 and 286,841.63

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Solution

The fourth proportional to 516,205.69, 712,477.61 and 286,841.63 is: 395,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,205.69 : 712,477.61 = 286,841.63 : x
  2. Step 2: Convert to fraction form
    516,205.69/712,477.61 = 286,841.63/x
  3. Step 3: Cross multiply
    516,205.69x = 712,477.61 × 286,841.63
  4. Step 4: Simplify right side
    516,205.69x = 204,368,238,990.90
  5. Step 5: Solve for x
    x = 204,368,238,990.90/516,205.69
  6. Step 6: Final answer
    x = 395,904.66

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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.