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Finding the Fourth Proportional to 686,100.13, 946,818.17 and 417,828.13

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Solution

The fourth proportional to 686,100.13, 946,818.17 and 417,828.13 is: 576,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,100.13 : 946,818.17 = 417,828.13 : x
  2. Step 2: Convert to fraction form
    686,100.13/946,818.17 = 417,828.13/x
  3. Step 3: Cross multiply
    686,100.13x = 946,818.17 × 417,828.13
  4. Step 4: Simplify right side
    686,100.13x = 395,607,265,421.12
  5. Step 5: Solve for x
    x = 395,607,265,421.12/686,100.13
  6. Step 6: Final answer
    x = 576,602.81

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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.