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Finding the Fourth Proportional to 686,076.51, 946,784.64 and 380,172.70

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Solution

The fourth proportional to 686,076.51, 946,784.64 and 380,172.70 is: 524,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,076.51 : 946,784.64 = 380,172.70 : x
  2. Step 2: Convert to fraction form
    686,076.51/946,784.64 = 380,172.70/x
  3. Step 3: Cross multiply
    686,076.51x = 946,784.64 × 380,172.70
  4. Step 4: Simplify right side
    686,076.51x = 359,941,672,907.33
  5. Step 5: Solve for x
    x = 359,941,672,907.33/686,076.51
  6. Step 6: Final answer
    x = 524,637.80

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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.