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Finding the Fourth Proportional to 527,106.54, 727,406.04 and 285,389.07

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Solution

The fourth proportional to 527,106.54, 727,406.04 and 285,389.07 is: 393,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,106.54 : 727,406.04 = 285,389.07 : x
  2. Step 2: Convert to fraction form
    527,106.54/727,406.04 = 285,389.07/x
  3. Step 3: Cross multiply
    527,106.54x = 727,406.04 × 285,389.07
  4. Step 4: Simplify right side
    527,106.54x = 207,593,733,267.98
  5. Step 5: Solve for x
    x = 207,593,733,267.98/527,106.54
  6. Step 6: Final answer
    x = 393,836.38

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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.