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Finding the Fourth Proportional to 516,051.94, 712,152.39 and 289,699.06

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Solution

The fourth proportional to 516,051.94, 712,152.39 and 289,699.06 is: 399,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,051.94 : 712,152.39 = 289,699.06 : x
  2. Step 2: Convert to fraction form
    516,051.94/712,152.39 = 289,699.06/x
  3. Step 3: Cross multiply
    516,051.94x = 712,152.39 × 289,699.06
  4. Step 4: Simplify right side
    516,051.94x = 206,309,877,959.75
  5. Step 5: Solve for x
    x = 206,309,877,959.75/516,051.94
  6. Step 6: Final answer
    x = 399,785.10

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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.