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Finding the Fourth Proportional to 527,054.88, 727,438.80 and 412,106.16

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Solution

The fourth proportional to 527,054.88, 727,438.80 and 412,106.16 is: 568,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,054.88 : 727,438.80 = 412,106.16 : x
  2. Step 2: Convert to fraction form
    527,054.88/727,438.80 = 412,106.16/x
  3. Step 3: Cross multiply
    527,054.88x = 727,438.80 × 412,106.16
  4. Step 4: Simplify right side
    527,054.88x = 299,782,010,503.01
  5. Step 5: Solve for x
    x = 299,782,010,503.01/527,054.88
  6. Step 6: Final answer
    x = 568,787.09

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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.