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Finding the Fourth Proportional to 971,035, 1,456,552.50 and 306,187

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Solution

The fourth proportional to 971,035, 1,456,552.50 and 306,187 is: 459,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,035 : 1,456,552.50 = 306,187 : x
  2. Step 2: Convert to fraction form
    971,035/1,456,552.50 = 306,187/x
  3. Step 3: Cross multiply
    971,035x = 1,456,552.50 × 306,187
  4. Step 4: Simplify right side
    971,035x = 445,977,440,317.50
  5. Step 5: Solve for x
    x = 445,977,440,317.50/971,035
  6. Step 6: Final answer
    x = 459,280.50

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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.