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Finding the Fourth Proportional to 601,458.40, 902,430.60 and 264,563.20

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Solution

The fourth proportional to 601,458.40, 902,430.60 and 264,563.20 is: 396,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,458.40 : 902,430.60 = 264,563.20 : x
  2. Step 2: Convert to fraction form
    601,458.40/902,430.60 = 264,563.20/x
  3. Step 3: Cross multiply
    601,458.40x = 902,430.60 × 264,563.20
  4. Step 4: Simplify right side
    601,458.40x = 238,749,927,313.92
  5. Step 5: Solve for x
    x = 238,749,927,313.92/601,458.40
  6. Step 6: Final answer
    x = 396,951.69

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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.