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Finding the Fourth Proportional to 686,124.68, 946,839.48 and 380,194.36

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Solution

The fourth proportional to 686,124.68, 946,839.48 and 380,194.36 is: 524,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,124.68 : 946,839.48 = 380,194.36 : x
  2. Step 2: Convert to fraction form
    686,124.68/946,839.48 = 380,194.36/x
  3. Step 3: Cross multiply
    686,124.68x = 946,839.48 × 380,194.36
  4. Step 4: Simplify right side
    686,124.68x = 359,983,026,328.51
  5. Step 5: Solve for x
    x = 359,983,026,328.51/686,124.68
  6. Step 6: Final answer
    x = 524,661.25

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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.