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Finding the Fourth Proportional to 527,886.36, 728,765.82 and 412,920.72

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Solution

The fourth proportional to 527,886.36, 728,765.82 and 412,920.72 is: 570,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,886.36 : 728,765.82 = 412,920.72 : x
  2. Step 2: Convert to fraction form
    527,886.36/728,765.82 = 412,920.72/x
  3. Step 3: Cross multiply
    527,886.36x = 728,765.82 × 412,920.72
  4. Step 4: Simplify right side
    527,886.36x = 300,922,507,105.79
  5. Step 5: Solve for x
    x = 300,922,507,105.79/527,886.36
  6. Step 6: Final answer
    x = 570,051.68

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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.