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Finding the Fourth Proportional to 513,106.76, 708,285.30 and 459,296.84

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Solution

The fourth proportional to 513,106.76, 708,285.30 and 459,296.84 is: 634,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,106.76 : 708,285.30 = 459,296.84 : x
  2. Step 2: Convert to fraction form
    513,106.76/708,285.30 = 459,296.84/x
  3. Step 3: Cross multiply
    513,106.76x = 708,285.30 × 459,296.84
  4. Step 4: Simplify right side
    513,106.76x = 325,313,200,108.45
  5. Step 5: Solve for x
    x = 325,313,200,108.45/513,106.76
  6. Step 6: Final answer
    x = 634,006.85

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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.