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Finding the Fourth Proportional to 409,421.69, 565,001.97 and 237,439.43

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Solution

The fourth proportional to 409,421.69, 565,001.97 and 237,439.43 is: 327,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,421.69 : 565,001.97 = 237,439.43 : x
  2. Step 2: Convert to fraction form
    409,421.69/565,001.97 = 237,439.43/x
  3. Step 3: Cross multiply
    409,421.69x = 565,001.97 × 237,439.43
  4. Step 4: Simplify right side
    409,421.69x = 134,153,744,558.08
  5. Step 5: Solve for x
    x = 134,153,744,558.08/409,421.69
  6. Step 6: Final answer
    x = 327,666.43

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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.