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Finding the Fourth Proportional to 527,062.50, 790,741.56 and 211,740.84

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Solution

The fourth proportional to 527,062.50, 790,741.56 and 211,740.84 is: 317,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,062.50 : 790,741.56 = 211,740.84 : x
  2. Step 2: Convert to fraction form
    527,062.50/790,741.56 = 211,740.84/x
  3. Step 3: Cross multiply
    527,062.50x = 790,741.56 × 211,740.84
  4. Step 4: Simplify right side
    527,062.50x = 167,432,282,137.31
  5. Step 5: Solve for x
    x = 167,432,282,137.31/527,062.50
  6. Step 6: Final answer
    x = 317,670.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.