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Finding the Fourth Proportional to 382,060.94, 527,255.95 and 209,975.77

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Solution

The fourth proportional to 382,060.94, 527,255.95 and 209,975.77 is: 289,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,060.94 : 527,255.95 = 209,975.77 : x
  2. Step 2: Convert to fraction form
    382,060.94/527,255.95 = 209,975.77/x
  3. Step 3: Cross multiply
    382,060.94x = 527,255.95 × 209,975.77
  4. Step 4: Simplify right side
    382,060.94x = 110,710,974,088.33
  5. Step 5: Solve for x
    x = 110,710,974,088.33/382,060.94
  6. Step 6: Final answer
    x = 289,773.08

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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.