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Finding the Fourth Proportional to 513,070.72, 708,032.46 and 286,716.22

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Solution

The fourth proportional to 513,070.72, 708,032.46 and 286,716.22 is: 395,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,070.72 : 708,032.46 = 286,716.22 : x
  2. Step 2: Convert to fraction form
    513,070.72/708,032.46 = 286,716.22/x
  3. Step 3: Cross multiply
    513,070.72x = 708,032.46 × 286,716.22
  4. Step 4: Simplify right side
    513,070.72x = 203,004,390,568.50
  5. Step 5: Solve for x
    x = 203,004,390,568.50/513,070.72
  6. Step 6: Final answer
    x = 395,665.51

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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.