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Finding the Fourth Proportional to 686,099, 946,816.62 and 417,827

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Solution

The fourth proportional to 686,099, 946,816.62 and 417,827 is: 576,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,099 : 946,816.62 = 417,827 : x
  2. Step 2: Convert to fraction form
    686,099/946,816.62 = 417,827/x
  3. Step 3: Cross multiply
    686,099x = 946,816.62 × 417,827
  4. Step 4: Simplify right side
    686,099x = 395,605,547,884.74
  5. Step 5: Solve for x
    x = 395,605,547,884.74/686,099
  6. Step 6: Final answer
    x = 576,601.26

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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.