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Finding the Fourth Proportional to 413,089.92, 570,159.36 and 269,596.80

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Solution

The fourth proportional to 413,089.92, 570,159.36 and 269,596.80 is: 372,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,089.92 : 570,159.36 = 269,596.80 : x
  2. Step 2: Convert to fraction form
    413,089.92/570,159.36 = 269,596.80/x
  3. Step 3: Cross multiply
    413,089.92x = 570,159.36 × 269,596.80
  4. Step 4: Simplify right side
    413,089.92x = 153,713,138,946.05
  5. Step 5: Solve for x
    x = 153,713,138,946.05/413,089.92
  6. Step 6: Final answer
    x = 372,105.76

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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.