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Finding the Fourth Proportional to 369,726.38, 510,222.40 and 199,960.50

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Solution

The fourth proportional to 369,726.38, 510,222.40 and 199,960.50 is: 275,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,726.38 : 510,222.40 = 199,960.50 : x
  2. Step 2: Convert to fraction form
    369,726.38/510,222.40 = 199,960.50/x
  3. Step 3: Cross multiply
    369,726.38x = 510,222.40 × 199,960.50
  4. Step 4: Simplify right side
    369,726.38x = 102,024,325,715.30
  5. Step 5: Solve for x
    x = 102,024,325,715.30/369,726.38
  6. Step 6: Final answer
    x = 275,945.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.