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Finding the Fourth Proportional to 468,032.80, 702,351.60 and 257,821.60

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Solution

The fourth proportional to 468,032.80, 702,351.60 and 257,821.60 is: 386,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.80 : 702,351.60 = 257,821.60 : x
  2. Step 2: Convert to fraction form
    468,032.80/702,351.60 = 257,821.60/x
  3. Step 3: Cross multiply
    468,032.80x = 702,351.60 × 257,821.60
  4. Step 4: Simplify right side
    468,032.80x = 181,081,413,274.56
  5. Step 5: Solve for x
    x = 181,081,413,274.56/468,032.80
  6. Step 6: Final answer
    x = 386,898.98

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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.