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Finding the Fourth Proportional to 452,519.48, 678,500.22 and 152,971.76

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Solution

The fourth proportional to 452,519.48, 678,500.22 and 152,971.76 is: 229,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,519.48 : 678,500.22 = 152,971.76 : x
  2. Step 2: Convert to fraction form
    452,519.48/678,500.22 = 152,971.76/x
  3. Step 3: Cross multiply
    452,519.48x = 678,500.22 × 152,971.76
  4. Step 4: Simplify right side
    452,519.48x = 103,791,372,813.79
  5. Step 5: Solve for x
    x = 103,791,372,813.79/452,519.48
  6. Step 6: Final answer
    x = 229,363.33

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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.