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Finding the Fourth Proportional to 686,316.82, 947,141.52 and 414,331.59

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Solution

The fourth proportional to 686,316.82, 947,141.52 and 414,331.59 is: 571,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,316.82 : 947,141.52 = 414,331.59 : x
  2. Step 2: Convert to fraction form
    686,316.82/947,141.52 = 414,331.59/x
  3. Step 3: Cross multiply
    686,316.82x = 947,141.52 × 414,331.59
  4. Step 4: Simplify right side
    686,316.82x = 392,430,653,185.40
  5. Step 5: Solve for x
    x = 392,430,653,185.40/686,316.82
  6. Step 6: Final answer
    x = 571,792.27

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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.