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Finding the Fourth Proportional to 413,356.06, 570,394.20 and 241,288.98

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Solution

The fourth proportional to 413,356.06, 570,394.20 and 241,288.98 is: 332,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,356.06 : 570,394.20 = 241,288.98 : x
  2. Step 2: Convert to fraction form
    413,356.06/570,394.20 = 241,288.98/x
  3. Step 3: Cross multiply
    413,356.06x = 570,394.20 × 241,288.98
  4. Step 4: Simplify right side
    413,356.06x = 137,629,833,481.77
  5. Step 5: Solve for x
    x = 137,629,833,481.77/413,356.06
  6. Step 6: Final answer
    x = 332,957.10

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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.