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Finding the Fourth Proportional to 513,412.56, 708,703.83 and 459,600.21

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Solution

The fourth proportional to 513,412.56, 708,703.83 and 459,600.21 is: 634,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,412.56 : 708,703.83 = 459,600.21 : x
  2. Step 2: Convert to fraction form
    513,412.56/708,703.83 = 459,600.21/x
  3. Step 3: Cross multiply
    513,412.56x = 708,703.83 × 459,600.21
  4. Step 4: Simplify right side
    513,412.56x = 325,720,429,095.80
  5. Step 5: Solve for x
    x = 325,720,429,095.80/513,412.56
  6. Step 6: Final answer
    x = 634,422.40

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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.