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Finding the Fourth Proportional to 527,034.60, 728,533.52 and 470,236.86

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Solution

The fourth proportional to 527,034.60, 728,533.52 and 470,236.86 is: 650,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,034.60 : 728,533.52 = 470,236.86 : x
  2. Step 2: Convert to fraction form
    527,034.60/728,533.52 = 470,236.86/x
  3. Step 3: Cross multiply
    527,034.60x = 728,533.52 × 470,236.86
  4. Step 4: Simplify right side
    527,034.60x = 342,583,314,849.55
  5. Step 5: Solve for x
    x = 342,583,314,849.55/527,034.60
  6. Step 6: Final answer
    x = 650,020.54

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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.