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Finding the Fourth Proportional to 413,369.58, 570,412.82 and 241,302.48

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Solution

The fourth proportional to 413,369.58, 570,412.82 and 241,302.48 is: 332,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,369.58 : 570,412.82 = 241,302.48 : x
  2. Step 2: Convert to fraction form
    413,369.58/570,412.82 = 241,302.48/x
  3. Step 3: Cross multiply
    413,369.58x = 570,412.82 × 241,302.48
  4. Step 4: Simplify right side
    413,369.58x = 137,642,028,089.79
  5. Step 5: Solve for x
    x = 137,642,028,089.79/413,369.58
  6. Step 6: Final answer
    x = 332,975.71

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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.