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Finding the Fourth Proportional to 458,038.30, 686,729.40 and 191,661.70

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Solution

The fourth proportional to 458,038.30, 686,729.40 and 191,661.70 is: 287,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,038.30 : 686,729.40 = 191,661.70 : x
  2. Step 2: Convert to fraction form
    458,038.30/686,729.40 = 191,661.70/x
  3. Step 3: Cross multiply
    458,038.30x = 686,729.40 × 191,661.70
  4. Step 4: Simplify right side
    458,038.30x = 131,619,724,243.98
  5. Step 5: Solve for x
    x = 131,619,724,243.98/458,038.30
  6. Step 6: Final answer
    x = 287,355.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.