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Finding the Fourth Proportional to 513,087.84, 708,063.84 and 286,737.12

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Solution

The fourth proportional to 513,087.84, 708,063.84 and 286,737.12 is: 395,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,087.84 : 708,063.84 = 286,737.12 : x
  2. Step 2: Convert to fraction form
    513,087.84/708,063.84 = 286,737.12/x
  3. Step 3: Cross multiply
    513,087.84x = 708,063.84 × 286,737.12
  4. Step 4: Simplify right side
    513,087.84x = 203,028,186,257.74
  5. Step 5: Solve for x
    x = 203,028,186,257.74/513,087.84
  6. Step 6: Final answer
    x = 395,698.69

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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.